Question

36,x,16 are in continued proportion . find value of x

Answer 1

Answer:

36,x,16 are in continued proportion . Then the value of x is 24

Step-by-step explanation:

Given :

We are given three numbers in natural proportion

36 , x , 16

To Find :

The Value of 'x'

Solution :

Since we are given continued proportion 36,x,16

we have to find the value of 'x'

since the proportions are continuous

so,

$\frac{36}{x}=\frac{x}{16}$

Solving above equation we get

$x^2$ = 16 x 36

x = $\sqrt$16x36

x = 4 x 6

x = 24

Hence we have calculated that the value of x = 24 in the continuous proportion

The continuous proportion is 36 , 24 , 16

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Answer 2

Answer:

The value of x is $\pm$24.

Step-by-step explanation:

Continued proportion:-

• The three quantities are said to be in continued proportion if the ratio between the first and the second is equal to the ratio between the second and the third.

Step 1 of 2

It is given that the numbers 36, x, 16 are in continued proportion.

Then,

The ratio between the first and the second term = 36/x

Also, the ratio between the second and the third term = x/16

By using the definition of continued proportion,

⇒ $\frac{36}{x}=\frac{x}{16}$

Step 2 of 2

Find the value of x.

Form step (1), we have

$\frac{36}{x}=\frac{x}{16}$

Cross multiply the equation as follows:

⇒ $36\times16=x^2$

⇒ $x^2=576$

⇒ $x^2=24^2$

⇒ $x=\pm24$

Therefore, the value of x is $\pm$24.

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