Question

3. Find a third proportional to the numbers
4,42​

Answer 1

Answer:441

Step-by-step explanation:

use this rule for finding third proportional,

a:b :: b:c

4:42 :: 42:x

4x=42*42

x=42*42/4

x=441

Answer 2

The Third Proportional To The Numbers 4 And 42 Is 441

GIVEN

The numbers, 4 and 42

TO FIND

Third proportional to the given numbers.

SOLUTION

We can simply solve the above problem as follows -

Let the third proportional be, x

According to the question,

4 and 42 are proportional

And x is the third proportional.

We can say that,

4, 42, and x are in continued proportion.

A continued proportion is a proportion in which the ratio between two numbers is equal to the proportion of the other two numbers.Continued proportion can be represented as -

p:q = q:r

where,

r is called the third proportional of p and q whereas q is the mean proportion between the terms p and r.

Now,

4: 42 = 42: x

we can write it as -

$\frac{4}{42} = \frac{42}{x}$

$4x = 42 \times 42$

$x = \frac{42 \times 42}{4}$

x = 441

Hence, The Third Proportional Of The numbers 4 And 42 Is 441

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