Question

if 28,42 and y are. in continued proportion,find y
​

Answer 1

Answer:

If 28,42 and y are in continued proportion, then y is 63

Step-by-step explanation:

Given

28,42 and y are in continued proportion

That is, 28:42 = 42: y

$\frac{28}{42} = \frac{42}{y}$

$\frac{2}{3} = \frac{42}{y} \\\\2y = 42*3\\\\2y = 126\\\\y = \frac{126}{2} \\\\= 63$

So, y = 63

Answer 2

Given,

28,42 and y are in continued proportion

To find,

y

Solution,

• Three numbers are said to be in continued proportion if the ratio of the first term and second term be equal to the ratio of the second term and third term.

•If the three numbers a,b and c

Then the continued proportion will be

a:b = b:c

Now,

let a = 28

b = 42

c = y

• Putting the values of a,b and c in the above formula:

we will get,

• 28/42 = 42/y

• 28y = 42×42

• y = 1764/28

• y = 63

Hence, y is 63