Question

find the third proportion of 25/4 and 5

Answer 1

your ans

to find:- third proportional

let third proportional be x

25/4:5::5:x

now

25/4×1/5=5/x

25/20=5/x

x=5/25×20

x=4

___________

Answer 2

Answer:

Required third proportion is 4

Step-by-step explanation:

Here given two numbers are $\frac{25}{4}$and 5.

Here we want to find third proportion .

But now question is how can we find third proportion?

By one example we can understand the problem,

We are taking two numbers 2 and 3.

Let third proportion of 2 and 3 be x.

So we can write $2:3::3:x$

So,

$\frac{2}{3} = \frac{3}{x}$

By Cross multiplication,

${x}^{2} = \frac{9}{2}$

So third proportion of 2 and 3 is 9/2.

Here given two numbers are $\frac{25}{4}$and 5.

Let their third proportion be y .

So,$\frac{25}{4} :5::5: y$

$\frac{ \frac{25}{4} }{5} = \frac{5}{y}$

By Cross multiplication,

$\frac{25}{4 \times 5} = \frac{5}{y} \\ \frac{1}{4}=\frac{1}{y}\\ {y}={4}$

Required third proportion is 4