Question

If 28 , 42 and y are in continued proportion , find y

Answer 1

Answer:

The value of $y$ is $56$.

Step-by-step explanation:

Given : The numbers $28,42$ and $y$ are in continued proportion.

To find : The value of $y$.

Solution :

• It is given that the numbers $28,42$ and $y$ are in continued proportion.
• We have to find the value of $y$.
• Continued proportion is the proportion in which any two numbers have equal gap or difference.
• To find the value of $y$, we have to find the difference between first two numbers i.e. $28$ and $42$.
• So, $42-28=14$
• Now, as it a continued proportion, we can say that the difference between $42$ and $y$ is $14$.
• The required equation becomes,

        $y-42=14$

            ∴ $y=42+14$

            ∴ $y=56$

• ∴ The value of $y$ is $56$.