Question

18 ,12 and X are in continued proportion then X=??​

Answer 1

Answer:

x =8

Step-by-step explanation:

The number which is before x will write it two times,

= 18:12::12:x

so, we will multiply extreme and mean proportion,

= 18x=12×12

= 18x=144

then we will divide 144 by 18

x=144/18

x=8

Answer 2

Answer:

Concept:

If the ratio of the first term and the second term is equal to the ratio of the second term and third term, then three quantities are said to be in continuing proportion.

Step-by-step explanation:

Suppose, the three quantities x, y, and z are said to be in continued proportion if x: y = y: z, i.e., $\frac{x}{y}$  = $\frac{y}{z}$ .

The ratio of the first term and second term must match the ratio of the second term and the third term must match the ratio of the third term and fourth term in order for four quantities to be considered to be in continuing proportion.

If w, x, y and z are four quantities such that w : x = x : y = y : z, i.e., $\frac{w}{x}$ = $\frac{x}{y}$ = $\frac{y}{z}$, they are said to be in continued proportion.

Given:

18,12, and X are in continued proportion

Find:

Find X

Solution:

                       $\frac{18}{12}$ = $\frac{12}{x}$

                       $12^{2}$ = 18x

                       144 = 18x

                         x = $\frac{144}{18}$

                          x = 8

18 ,12 and X are in continued proportion then X= 8

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