Question

find the mean proportional between 25, 36 ​

Answer 1

Answer:

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

Step-by-step explanation:

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.

Answer 2

Sol: 25: :: :36

Product of middle term = Product of extreme term

$x \times x = 36 \times 26 \\ x = \sqrt{25 \times 35} \\ x = \sqrt{900} \\ x = 30$

Mean proportion = 30