Question

x,12,y,27 are in continued proportion find the positive value of x and y

Answer 1

As they r in continued proportion
Then x/12=12/y=y/27
12/y=y/27
=y^2=12*27
=y^2=324
=y=18
Then x/12=12/y
= xy= 144
By putting value of y
x*18=144
=x=144/18
=x=8

Answer 2

x = 8 and y = 18

Step-by-step explanation:

The given continued proportion are:

x, 12, y, and 27

To find, the value of x and y = ?

The continued proportion are:

x, 12, y, and 27

∴ $\dfrac{x}{12} =\dfrac{12}{y} =\dfrac{y}{27}$

$\dfrac{x}{12} =\dfrac{12}{y}$                 .........(1)

and $\dfrac{12}{y} =\dfrac{y}{27}$         .........(2)

From (2), we get

$\dfrac{12}{y} =\dfrac{y}{27}$

⇒ $y^{2} =27\times 12=324$

⇒ $y^{2} =18^{2}$

⇒ y = 18

Put y = 18 in (1), we get

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

⇒ $x=\dfrac{2}{3}\times 12=2\times 4=8$

Hence, x = 8 and y = 18