# ratio
## English
### Etymology

Borrowed from Latin ratiō. Doublet of ration and reason.

### Pronunciation

* (Received Pronunciation) IPA: /ˈɹeɪ.ʃi.əʊ/, /ˈɹeɪ.ʃəʊ/
** (dated) IPA: /ˈɹeɪ.si.əʊ/
* (US) IPA: /ˈɹeɪ.ʃoʊ/, /ˈɹeɪ.ʃiˌoʊ/
* Audio (US):(file)
* Rhymes: -eɪʃiəʊ

### Noun

ratio (plural ratios)
* A number representing a comparison between two named things.
* (arithmetic) The relative magnitudes of two quantities (usually expressed as a quotient).
* (law) Short for ratio decidendi.
* (Internet) The number of comments to a post or other expression on social media relative to the number of likes; a high ratio suggests disagreement with the contents of the original post.

#### Derived terms

* anharmonic ratio
* aspect ratio
* basic reproduction ratio
* basic reproductive ratio
* branching ratio
* cardiothoracic ratio
* common ratio
* compression ratio
* contrast ratio
* corn-hog ratio
* coward's ratio
* credit-deposit ratio
* cross-ratio
* cross ratio
* current ratio
* damping ratio
* dependency ratio
* deviation ratio
* double ratio
* eigenratio
* emergy investment ratio
* enantiomeric ratio
* error ratio
* eudismic ratio
* eudysmic ratio
* failure ratio
* financial ratio
* gear ratio
* gender ratio
* Gini ratio
* glide ratio
* golden ratio
* gyromagnetic ratio
* hazard ratio
* heat capacity ratio
* hog-corn ratio
* Horowitz ratio
* joy-to-stuff ratio
* kill/death ratio
* kill-death ratio
* kill-to-death ratio, K/D ratio
* lift-to-drag ratio
* loop ratio
* loss ratio
* mass-to-light ratio, M/L ratio
* media-to-lumen ratio, M/L ratio
* modified aspect ratio
* M-ratio
* n-firm concentration ratio
* original aspect ratio
* paO2/FiO2 ratio
* PaO2/FiO2 ratio, P/F ratio
* PE ratio
* P-E ratio
* PF ratio
* pixelation ratio
* Poisson's ratio
* price-earnings ratio
* price-to-earnings ratio, P/E ratio
* quick ratio
* ratioed
* ratio formalis
* ratiometer
* ratiometric
* ratiometry
* ratio scale
* ratio variable
* read-around ratio
* recta ratio
* Redfield ratio
* S/F ratio
* sequential probability ratio test
* sex ratio
* SF ratio
* Sharpe ratio
* shooting ratio
* signal-noise ratio
* signal-to-noise ratio, S/N ratio
* silver ratio
* sine ratio
* sodium adsorption ratio
* SpO2/FiO2 ratio
* subratio
* teeth-to-tail ratio
* Texas ratio
* Treynor ratio
* type-token ratio
* ultima ratio
* variation ratio

#### Related terms

* obiter
* obiter dictum
* ratio decidendi
* rational
* irrational

#### Descendants

* → Portuguese: rácio

#### Translations
### Verb

ratio (third-person singular simple present ratios, present participle ratioing, simple past and past participle ratioed)
* (transitive, Internet slang) To respond to a post or message on social media in a greater number than the number of likes the post receives, especially to condemn or mock the original poster.
    The politician's post was quickly ratioed due to its controversial nature.
** 2019, Henry Chisholm, "'Who Cares? It's women's hoops'", Montana Kaimin (The University of Montana), 30 January 2019 - 5 February 2019, page 29:
    It used to be fun to watch tweets like that get ratioed back into their ugly corner of the internet.
** 2021 January 27, Leigh Tauss, “Ghost Roast”, in INDY Week, page 4:And, just FYI, here's how brutally the public ratioed that tweet.
** 2021, @suburbanpoet, "Ratio or be Ratioed: Reluctant notes on Twitter", Honi Soit (University of Sydney), Week 4, Semester 2 (2021), page 16:
    It is essential that you ratio anyone who comes for your honour.
** For more quotations using this term, see Citations:ratio.

### Interjection

ratio
* (neologism, Twitter) Indicates disagreement with a post the user disagrees with or dislikes.
    L + ratio
** 2021, Lil Nas X, THE MONTERO SHOW‎:"Ratio. YoungBoy is better." "What?" "Make better music. You fell off."

### Anagrams

* Artio, Otira, ariot, artoi, atrio-, iatro-

## Dutch
### Etymology

Borrowed from Latin ratiō.

### Pronunciation

* IPA: /ˈraː.(t)si.oː/
* Audio:(file)
* Hyphenation: ra‧tio

### Noun

ratio f (plural ratio's)
* (mathematics, countable) ratio, proportion
    Synonym: verhouding
* (uncountable) reason
    Synonyms: rede, verstand

#### Related terms

* rationalisme
* rationeel

#### Descendants

* → Indonesian: rasio

## French
### Etymology

Borrowed from Latin ratio. Doublet of raison and ration.

### Pronunciation

* IPA: /ʁa.sjo/
* Audio:(file)

### Noun

ratio m (plural ratios)
* (mathematics) ratio

### Further reading

* “ratio”, in Trésor de la langue française informatisé [Digitized Treasury of the French Language], 2012.

## Italian
### Etymology

Learned borrowing from Latin ratiō (“reason, explanation”).

### Pronunciation

* IPA: /ˈrat.t͡sjo/
* Rhymes: -attsjo
* Hyphenation: rà‧tio

### Noun

ratio f (uncountable)
* reason, motive
    Synonyms: motivazione, motivo, ragione
* expedient
    Synonym: espediente

#### Related terms

* ragione
* razione

### Further reading

* ratio in Treccani.it – Vocabolario Treccani on line, Istituto dell'Enciclopedia Italiana

### Anagrams

* -toria, Troia, atrio, iatro-, irato, orati, rotai, troia

## Latin
### Etymology

From ratus/reor (“to compute”) +‎ -tiō.

### Pronunciation

* (Classical Latin) IPA: /ˈra.ti.oː/, [ˈrät̪ioː]
* (modern Italianate Ecclesiastical) IPA: /ˈrat.t͡si.o/, [ˈrät̪ː͡s̪io]

### Noun

ratiō f (genitive ratiōnis); third declension
* reason, reasoning, explanation, ground, motive, rationality, rationale, purpose
    qua ratione ― for what reason
** 8 CE, Ovid, Fasti 3.621–622:at tū, seu ratiō tē nostrīs appulit ōrīs sīve deus, rēgnī commodā carpe meī.But you, whether purpose or some god has driven you to our shores, enjoy the benefits of my kingdom. (trans. Anne and Peter Wiseman, 2011)
* calculation, account, accounting, reckoning, computation, business
    inire rationem ― to count
* procedure, course, manner, method, mode, conduct, plan
    Synonyms: modus, disciplīna
    qua ratione ― in what manner
    inire rationem ― to take an initiative, to form a plan
** c. 52 BCE, Julius Caesar, Commentarii de Bello Gallico VII.24:vix ratio iniri posseta plan could hardly be formed
* theory, view
* doctrine, system, philosophy (collective body of the teachings of a school of thought)
* view, opinion, advice, consult
* register (list)
* regard, respect, interest, consideration
* reference, relation, respect

#### Declension

Third-declension noun.

#### Synonyms

* (opinion): responsum, consultum

#### Derived terms

* ratiōnābilis
* ratiōnālis
* ratiōnārium
* ratiōcinor
* ratiuncula

#### Related terms

* ratiōcinium

#### Descendants

* Dalmatian:
** rasaun, ratiáun
* Italo-Romance:
** Italian: ragione
** Neapolitan: ragiune
** Sicilian: ragiuni, raggiuni, raciuni
* Padanian:
** Friulian: reson
** Ladin: reson
** Piedmontese: rason
** Romansch: raschun, raschung, radschun
** Venetan: raxon, rajon
* Northern Gallo-Romance:
** Old French: raison
*** French: raison
*** Walloon: råjhon
*** → English: reason
**** → Irish: réasún
* Southern Gallo-Romance:
** Aragonese: razón
** Catalan: raó
** Occitan: rason
* Ibero-Romance:
** Asturian: razón
** Galician: razón
** Portuguese: razão
** Spanish: razón
* Insular Romance: (newer forms influenced by Italian)
** Old Sardinian: rathone, rethone
*** Middle Sardinian: rasione, rexione, arresoni
**** Modern Sardinian: regione, rejone, raxoni
* Ancient borrowings:
** → Proto-Albanian: *rrësye
*** Albanian: arsye, arrësye
Learned borrowings:
* From the nominative ratiō:
** Catalan: ràtio
** Dutch: ratio
*** → Indonesian: rasio
** English: ratio
** Esperanto: racio
** French: ratio
** Italian: ratio
** Polish: racja
** Portuguese: rácio
** Romanian: rație
** Spanish: ratio
* From the accusative ratiōnem:
** Catalan: ració
** English: ration
** French: ration
** Galician: ración
** Italian: razione
** Portuguese: ração
** Romanian: rațiune
** Spanish: ración
** Turkish: racon

#### See also

* prōportiō

### References

* “ratio”, in Charlton T. Lewis and Charles Short (1879) A Latin Dictionary, Oxford: Clarendon Press
* ratio in Enrico Olivetti, editor (2003-2025), Dizionario Latino, Olivetti Media Communication
* “ratio”, in Charlton T. Lewis (1891) An Elementary Latin Dictionary, New York: Harper & Brothers
* "ratio", in Charles du Fresne du Cange’s Glossarium Mediæ et Infimæ Latinitatis (augmented edition with additions by D. P. Carpenterius, Adelungius and others, edited by Léopold Favre, 1883–1887)
* ratio in Gaffiot, Félix (1934) Dictionnaire illustré latin-français, Hachette.
* Carl Meißner, Henry William Auden (1894) Latin Phrase-Book‎, London: Macmillan and Co. the spirit of the times, the fashion: saeculi consuetudo or ratio atque inclinatio temporis (temporum) the case is exactly similar (entirely different): eadem (longe alia) est huius rei ratio to have regard for; take into consideration: rationem habere alicuius rei to look after, guard a person's interests, welfare: rationibus alicuius prospicere or consulere (opp. officere, obstare, adversari) my interests demanded it: meae rationes ita tulerunt to form a conception, notion of a thing: notionem or rationem alicuius rei in animo informare or animo concipere without reflection; inconsiderately; rashly: nullo consilio, nulla ratione, temere after mature deliberation: inita subductaque ratione to have a theoretical knowledge of a thing: ratione, doctrina (opp. usu) aliquid cognitum habere to reduce a thing to its theoretical principles; to apply theory to a thing: ad artem, ad rationem revocare aliquid (De Or. 2. 11. 44) to adopt a didactic tone: ad praecipiendi rationem delābi (Q. Fr. 1. 1. 6. 18) logic, dialectic: dialectica (-ae or -orum) (pure Latin disserendi ratio et scientia) to arrange on strictly logical principles: ratione, eleganter (opp. nulla ratione, ineleganter, confuse) disponere aliquid system: ratio; disciplina, ratio et disciplina; ars to systematise: ad rationem, ad artem et praecepta revocare aliquid (De Or. 1. 41) systematic, methodical knowledge: ratio et doctrina to treat with scientific exactness; to classify: ad rationis praecepta accommodare aliquid to upset the whole system: totam rationem evertere (pass. iacet tota ratio) to proceed, carry on a discussion logically: ratione et via, via et ratione progredi, disputare (Or. 33. 116) to enter on a new method: novam rationem ingredi to be based on a sound principle: a certa ratione proficisci to deal with a subject on scientific principles: ad philosophorum or philosophandi rationes revocare aliquid to bring forward an argument (based on common-sense): rationem afferre (Verr. 3. 85. 195) the conclusion proves that..: ratio or rationis conclusio efficit the syllogism; reasoning: ratiocinatio, ratio chronology: temporum ratio, descriptio, ordo to calculate the date of an event: ad temporum rationem aliquid revocare to draw a mathematical conclusion: mathematicorum ratione concludere aliquid the connection of thought: ratio sententiarum the connection of thought: ratio, qua sententiae inter se excipiunt. to be endowed with reason: rationis participem (opp. expertem) esse to be endowed with reason: ratione praeditum esse, uti to act reasonably, judiciously: prudenter, considerate, consilio agere (opp. temere, nullo consilio, nulla ratione) to be contrary to all reason: rationi repugnare on principle: ratione; animi quodam iudicio a sound and sensible system of conduct: vitae ratio bene ac sapienter instituta the principles which I have followed since I came to man's estate: meae vitae rationes ab ineunte aetate susceptae (Imp. Pomp. 1. 1.) to follow fixed principles of conduct: certas rationes in agendo sequi finance; money-matters: ratio pecuniarum account-book; ledger: codex or tabulae ratio accepti et expensi to go through accounts, make a valuation of a thing: rationem alicuius rei inire, subducere to do something after careful calculation: inita subductaque ratione aliquid facere to balance accounts with some one: rationes putare cum aliquo the accounts balance: ratio alicuius rei constat (convenit, par est) the account of receipts and expenditure: ratio acceptorum et datorum (accepti et expensi) (Amic. 16. 58) to keep the accounts (day-book) carefully: rationem diligenter conficere to render count of a matter; to pass it for audit: rationem alicuius rei reddere to demand an account, an audit of a matter: rationem alicuius rei reposcere aliquem or ab aliquo to demand an account, an audit of a matter: rationem ab aliquo reptere de aliqua re (Cluent. 37. 104) credit and financial position: fides et ratio pecuniarum the interests of the state: commoda publica or rei publicae rationes to further the public interests: rei publicae rationibus or simply rei publicae consulere to consider a thing from a political point of view: ad rei publicae rationes aliquid referre a democratic leader: homo florens in populari ratione judicial organisation: ratio iudiciorum to change one's tactics: rationem belli gerendi mutare (Liv. 32. 31)
* Wagner, Max Leopold (1960–1964) “rathone”, in Dizionario etimologico sardo, Heidelberg
* Walther von Wartburg (1928–2002) “ratio”, in Französisches Etymologisches Wörterbuch, volume 10: R, page 105

### Anagrams

* Troia

## Spanish
### Etymology

Learned borrowing from Latin ratiō. Doublet of ración and razón.

### Pronunciation

* IPA: /ˈratjo/ [ˈra.t̪jo]
* Rhymes: -atjo
* Syllabification: ra‧tio

### Noun

ratio f (plural ratios)
* (mathematics) ratio

### Further reading

* “ratio”, in Diccionario de la lengua española [Dictionary of the Spanish Language] (in Spanish), online version 23.8, Royal Spanish Academy [Spanish: Real Academia Española], 2024 December 10

### Anagrams

* atrio