...and extract the square root of the product ; which root will be the mean proportional sought. Note. When the first is to the second as the second is to the third, the second is called a mean proportional between the other two. Thus, 4 is a mean proportional between...

...C, and С a third proportional to A and B. [П. } l 11. Any number of magnitudes of the saine kind are said to be in continued proportion, when the first is to the second, as the second to the third, as the third to the fourth, and so on. Magnitudes A, B, C, D, Sec. which are in continued...

...sought. EXAMPLES. 1 . What is the mean proportional between 24 aad 96 ? 24X96=^/2304= Ans. 48. NOTE. — When the first, is to the second, as the second is to the . third, the second is called a mean proportional between the other two; thus, 24 : 48 : : 96. . 2. A cheese...

...and extract the square root of the product; which root will be the mean proportional sought. Note. When the first is to the second as the second is to tha third, the second is called a mean proportional between the other two. Thus, 4 is a mean proportional...

...between A and C, and С a third proportional to A and B. 1 1 . Any number of magnitudes of /he game hind are said to be in continued proportion, when the first is to the second, as the second to the third, as the ihird to the fourth, and so on. Magnitudes A, U, C, D, &c. which are in continued...

...sought. EXAMPLES. 1. What is the mean proportional between 24 and 96 ? 24x96=V2304= Ans. 48. NOTE. — When the first is to the second, as the second is to the third, the second is called a mean proportional between the other two, thus. 24: 48:: 96. 2. A cheese weighed...

...That is, if the product of the first and third of two quantities, is equal to the square of a second, the first is to the second, as the second is to the third. Illustration. IT 4 : 6 : : 6 : 9, then 4X9=62=36. If 2X8=16, then 2 : /I6 : : /IB : 8 Or 2 : 4 : :...

...mean proportional between the two axis of the ellipse. What do you understand by a mean proportional ? When the first is to the second as the second is to the third, (as 3 : 6 :: 6 : 12), then the second is a mean proportional between the first and third. How do find...

...That is, if the product of the first and third of two quantities, it equal to the square of a second, the first is to the second, as the second is to the third. Illustration. If 4 : 6 : : 6 : 9, then 4X9=62=36._ If 2X8=16, then 2: i/T6 : : /IB : 8 Or 2 : 4 : :...

...to another is defined to be the ratio which the first magnitude has to a third magnitude such that the first is to the second as the second is to the third. OBS. 1. Hence when three magnitudes are proportional (Def. 9. Obs. 2), the ratio which the first bears...