Question

Find mean proportions 14 and 56

Answer 1

Step-by-step explanation:

$\implies$ $14:x:x:56$

(Product of means = product of extremes)

$\implies$$x^{2}=14×56$

$\implies$ $x^{2}=784$

$\implies$ $x=\sqrt{784}$

$\implies$ $\boxed{Mean\: proportion=28}$

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Answer 2

The mean proportion between 14 and 56 is 28.

Given:

Two numbers 14 and 56.

To Find:

The mean proportion between 14 and 56.

Solution:

To solve this problem we will use the following concepts:

Mean proportion is essentially the geometric mean between two numbers.

The mean proportion between two numbers 'a' and 'b' is the number 'x' such that,

a/x = x/b.

We have to find the mean proportions of 14 and 56.

Here a = 14 and b = 56.

The mean proportion is:

14/x = x/56

⇒ x² = 14x56 = 784

⇒ x = √784 = 28.

Hence, the mean proportion between 14 and 56 is 28.

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