...in proportion since 3:9:: 9:27, the ratio of each couplet being $. In such a proportion the second term is said to be a mean proportional between the other two. 386. In every proportion the product of the extremes is equal to the product of the means. Thus, in...

...antecedent of the second ratio, so that the proportion assumes the form a : b = b : c, (3) the common mean term is said to be a mean proportional between the other two terms ; the third term is called a third proportional to the first two terms. From proportion (3) we...

...second the same ratio that the third has to the fourth. ' 6. Magnitudes are said to be proportionals, when the first has the same ratio to the second that the third has to the fourth ; and the third to the fourth the same ratio which the fifth has to the sixth,...

...last proportion, A and 0 are the antecedents, and B and D the consequents. 188. Three quantities are in proportion when the first has the same ratio to...is said to be a mean proportional between the other quantities. For example, 3:6::6:12; and 6 is a mean proportional between 3 and 12. 189. Four quantities...

...a fourth proportional to the other three, taken in their order. ART. 243. — Three quantities are in proportion, when the first has the same ratio to the second, that the second has to the third. In this case, the middle term is called a mean proportional between the other two. Thus, if we have...

...a fourth proportional to the other three, taken in their order. ART. 243. — Three quantities are in proportion, when the first has the same ratio to the second, that the second has to the third. In this case, the middle term is called a mean proportional between the other two. Thus, if we have...

...to 8. XIV. PR0P0RTI0N. ART. 197. Proportion is an equality of ratios. Four numbers are proportional, when the first has the same ratio to the second that. the third has to the fourth. REVIEW. — 19i. How is a ratio affected by multiplying the consequent, or...