Question

Find the mean proportion of
5 and 80​

Answer 1

Answer:

5/X=X/80

400=x^2

√400=X

20=X

Answer 2

Answer:

The Mean Proportion of 5 and 8 is 20

Step-by-step explanation:

Given :

The Two numbers = 5 and 80

To Find :

The mean proportion of 5 and 80

Solution :

Consider the mean proportion as x

5 : x : : x : 80

$\boxed{\sf{Mean \times Mean\:Terms = Extreme \times Extreme \:Terms}}$

⇒ x × x = 5 × 80

⇒ x² = 400

⇒ x = √400

⇒ x = 20

∴ The Mean Proportion of 5 and 8 is 20

$\rule{300}{1}$

Verification :-

⇒ 20 × 20 = 5 × 80

⇒ 400 = 400

∴ The Mean Proportion of 5 and 8 is 20