Finding the Third Proportional to 408 and 530
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Solution
The third proportional to 408 and 530 is: 688.48
Step by Step Solution
- Step 1: Write the proportion equation
408 : 530 = 530 : x - Step 2: Convert to fraction form
408/530 = 530/x - Step 3: Cross multiply
408x = 530 × 530 - Step 4: Simplify right side
408x = 280,900 - Step 5: Solve for x
x = 280,900/408 - Step 6: Final answer
x = 688.48
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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.