Question

the mean proportional between 45 and a certain number is three times the mean proportional between 5 and 22. the number is?

Answer 1

Step-by-step explanation:

please refer to the attachment

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Answer 2

The mean proportion between the given number is 22.

Given,

The mean proportion between 45 and a certain number is three times the mean proportion between 5 and 22.

To Find,

The other number.

Solution,

Before solving the question, let's understand the concept of mean proportion,

Mean Proportion:

One calculates the mean proportion between two terms in a ratio by taking the square root of the product of two quantities in a ratio.

When p and q are positive numbers, the geometric Mean (x) is the mean proportion between them.

x = $\sqrt{pq}$.

Now, let's solve the question,

Let the number be 'x.'

We will use the given values,

= $\sqrt{45*x} = 3\sqrt{5*22}$

On squaring both sides, we get

= 45 × x = 3² × 5 × 22

= 45 × x = 9 × 5 × 22

On Solving, we get,

x = 22.

The mean proportion between the given number is 22.

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