Question

find third proportion :
36/5, 125
please send answer urgent
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Answer 1

Answer:

We will learn how to find the mean and third proportional of the set of three numbers.

If x, y and z are in continued proportion then y is called the mean proportional (or geometric mean) of x and z.

If y is the mean proportional of x and z, y^2 = xz, i.e., y = +xz−−√.

For example, the mean proportion of 4 and 16 = +4×16−−−−−√  = +64−−√ = 8

If x, y and z are in continued proportion then z is called the third proportional.

For example, the third proportional of 4, 8 is 16.

Step-by-step explanation:

Answer 2

Let the required third proportional be x

36, 18, x are in continued proportion

\Rightarrow⇒ 36 : 18 = 18 : x

\Rightarrow⇒ 36x = 18 x 18

\Rightarrow\ x=\frac{18\times18}{36}=9⇒ x=3618×18=9