**Pro*por"tion** (?), n. [F., fr. L. *proportio*; *pro* before + *portio* part or share. See Portion.]

**1.**

The relation or adaptation of one portion to another, or to the whole, as respect magnitude, quantity, or degree; comparative relation; ratio; as, the **proportion** of the parts of a building, or of the body.

The image of Christ, made after his own **proportion**.
*Ridley.*

Formed in the best **proportions** of her sex.
*Sir W. Scott.*

Documents are authentic and facts are true precisely in **proportion** to the support which they afford to his theory.
*Macaulay.*

**2.**

Harmonic relation between parts, or between different things of the same kind; symmetrical arrangement or adjustment; symmetry; as, to be out of **proportion**.

"Let us prophesy according to the

*proportion* of faith."

*Rom. xii. 6.*

**3.**

The portion one receives when a whole is distributed by a rule or principle; equal or proper share; lot.

Let the women . . . do the same things in their **proportions** and capacities.
*Jer. Taylor.*

**4.**

A part considered comparatively; a share.

**5.** Math. (a)

The equality or similarity of ratios, especially of geometrical ratios; or a relation among quantities such that the quotient of the first divided by the second is equal to that of the third divided by the fourth; -- called also geometrical proportion, in distinction from *arithmetical proportion*, or that in which the difference of the first and second is equal to the difference of the third and fourth.

⇒ *Proportion* in the mathematical sense differs from *ratio*. *Ratio* is the relation of two quantities of the same kind, as the ratio of 5 to 10, or the ratio of 8 to 16. *Proportion* is the sameness or likeness of two such relations. Thus, 5 to 10 as 8 to 16; that is, 5 bears the same relation to 10 as 8 does to 16. Hence, such numbers are said to be in *proportion*. *Proportion* is expressed by symbols thus:

a:b::c:d, or a:b = c:d, or a/b = c/d.

(b)

The rule of three, in arithmetic, in which the three given terms, together with the one sought, are proportional

.

Continued proportion, Inverse proportion, etc. See under Continued, Inverse, etc. -- Harmonical, ∨ Musical, proportion, a relation of three or four quantities, such that the first is to the last as the difference between the first two is to the difference between the last two; thus, 2, 3, 6, are in harmonical proportion; for 2 is to 6 as 1 to 3. Thus, 24, 16, 12, 9, are harmonical, for 24:9::8:3. -- In proportion, according as; to the degree that. "*In proportion** as they are metaphysically true, they are morally and politically false."
*

*Burke.*

*
*

*© Webster 1913.
*

*
***Pro*por"tion**, v. t. [imp. & p. p. Proportioned (?); p. pr. & vb. n. Proportioning.] [Cf. F. *proportionner*. Cf. Proportionate, v.]

**1.**

To adjust in a suitable proportion, as one thing or one part to another; as, to **proportion** the size of a building to its height; to **proportion** our expenditures to our income.

In the loss of an object we do not **proportion** our grief to the real value . . . but to the value our fancies set upon it.
*Addison.*

**2.**

To form with symmetry or suitableness, as the parts of the body.

Nature had **proportioned** her without any fault.
*Sir P. Sidney.*

**3.**

To divide into equal or just shares; to apportion.

*© Webster 1913.*