Question

Find the mean proportion between 2 and 50.

Answer 1

mean proportion between 2 and 50 is

b2=2*50

b2=100 b=10

Answer 2

The mean proportion between 2 and 50 is 10.

Given,

Two numbers: 2 and 50.

To find,

Mean proportion between the two numbers.

Solution,

We can see here that the given numbers are 2 and 50.

A mean proportion, which is also known as the geometric mean, between two numbers, say p and q, is given by

$x=\sqrt{pq} \hfill ...(1)$

where x is the mean proportion.

It is also defined as a positive number (x) in the ratio, such that it relates two ratios as follows.

$\frac{p}{x} =\frac{x}{q} \hfill ...(2)$

where x is again, the mean proportion.

Solving equation (2) for x also results in the value given in equation (1)

Thus, using (1), the mean proportion between 2 and 50 (let x), will be

$x=\sqrt{2 \times 50} =\sqrt{100}$

⇒ x = 10.

Therefore, the mean proportion between 2 and 50 is 10.

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