Question

24, 36, x are in continued proportion, find the value of x.

Answer 1

Answer:

Value of x = 54

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Step-by-step explanation:

Continued Proportion = a : b : : b:c

Similarly,

24 : 36 : : 36 : x

Product of Mean = Product of Extreme

24x = 36 * 36

x = (36 * 36) / 24

x = 54

Answer 2

Given,

24,36 and x are in continued proportion.

To find,

The value of x.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

If a,b and c are continued proportion. Then

$\frac{a}{b} = \frac{b}{c}$

Similarly, the given three numbers are in continued proportion. So, according to the mathematical property of continued proportion, we can get -

$\frac{24}{36} = \frac{36}{x}$

$24 \times x = 36 \times 36$

$x = \frac{36 \times 36}{24}$

$x = 54$

(This value of x will satisfy the given continued proportion. So, it will be considered as the final result.)

Hence, value of x will be 54