ratio

[rey-shoh, -shee-oh]
noun, plural ratios.
1.
the relation between two similar magnitudes with respect to the number of times the first contains the second: the ratio of 5 to 2, written 5:2 or 5/2.
2.
proportional relation; rate: the ratio between acceptances and rejections.
3.
Finance. the relative value of gold and silver in a bimetallic currency system.

Origin:
1630–40; < Latin ratiō a reckoning, account, calculation, derivative (see -tion) of the base of rērī to judge, think

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ultima ratio regum

[ool-ti-mah rah-tee-oh rey-goom; English uhl-tuh-muh rey-shee-oh ree-guhm]
Latin.
the final argument of kings (a resort to arms): motto engraved on the cannon of Louis XIV.
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Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
ratio (ˈreɪʃɪˌəʊ)
 
n , pl -tios
1.  a measure of the relative size of two classes expressible as a proportion: the ratio of boys to girls is 2 to 1
2.  maths See also proportion a quotient of two numbers or quantities
 
[C17: from Latin: a reckoning, from rērī to think; see reason]

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Etymonline
Word Origin & History

ratio
1636, "reason, rationale," from L. ratio "reckoning, calculation, business affair, procedure," also "reason," from rat-, pp. stem of reri "to reckon, calculate," also "think" (see reason). Mathematical sense is attested from 1660.
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Medical Dictionary

ratio ra·tio (rā'shō, rā'shē-ō')
n. pl. ra·tios

  1. Relation in degree or number between two similar things.

  2. The relation between two quantities expressed as the quotient of one divided by the other.

The American Heritage® Stedman's Medical Dictionary
Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.
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American Heritage
Science Dictionary
ratio   (rā'shō, rā'shē-ō')  Pronunciation Key 
A relationship between two quantities, normally expressed as the quotient of one divided by the other. For example, if a box contains six red marbles and four blue marbles, the ratio of red marbles to blue marbles is 6 to 4, also written 6:4. A ratio can also be expressed as a decimal or percentage.
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Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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American Heritage
Cultural Dictionary
ratio [(ray-shee-oh, ray-shoh)]

An expression of the relative size of two numbers by showing one divided by the other.

The American Heritage® New Dictionary of Cultural Literacy, Third Edition
Copyright © 2005 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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Example sentences
Now, for fuller flavor, she's upped the salsa ratio and uses tomato sauce
  instead of soup.
The match fixes neither distance nor size but only their ratio, as some
  fraction of a full circle.
As the car accelerates, the driver feels no lurch because no step occurs from
  one ratio to the next.
Saving land, particularly rainforest land with its high ratio of endemic animal
  species, will therefore be required.
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