Quantitative Aptitude Problem 3 Continued Proportion

 

How to Solve Continued Proportion Problems Easily

Question:

Numbers A, B, C, and D are in continued proportion. If A = 20 and C = 180, find the sum of B and D.

Step-by-Step Solution:

Step 1: Understanding Continued Proportion

In continued proportion, the relationship between numbers follows the rule:

$$A : B = B : C = C : D$$

This means:

$$B^2 = A \times C$$ $$D = \frac{C^2}{B}$$

Step 2: Finding B

$$B^2 = 20 \times 180$$ $$B^2 = 3600$$ $$B = \sqrt{3600} = 60$$

Step 3: Finding D

$$D = \frac{C^2}{B} = \frac{180^2}{60}$$ $$D = \frac{32400}{60} = 540$$

Step 4: Finding the Sum of B and D

$$B + D = 60 + 540 = 600$$

Final Answer:

The sum of B and D is 600.

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