Question

7. Find the mean proportional between 25, 36​

Answer 1

Answer:

The mean proportional between 25 and 36 is 30.

Step-by-step explanation:

To find : The mean proportional between 25 and 36 ?

Solution :

If b is the mean proportion between a and c.

Then a:b::b:c\Rightarrow \frac{a}{b}=\frac{b}{c}a:b::b:c⇒

b

a

=

c

b

\Rightarrow b^2=ac⇒b

2

=ac

Let the mean proportion between 25 and 36 is x,

Here, a=25, b=x and c=36.

Substitute,

x^2=25\times 26x

2

=25×26

x^2=900x

2

=900

x=\sqrt{900}x=

900

x=30x=30

Therefore, the mean proportional between 25 and 36 is 30.

#Learn more

If 25, 35, x are in continued proportion, find the value of x?

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