Finding the Third Proportional to 398 and 457
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Solution
The third proportional to 398 and 457 is: 524.75
Step by Step Solution
- Step 1: Write the proportion equation
398 : 457 = 457 : x - Step 2: Convert to fraction form
398/457 = 457/x - Step 3: Cross multiply
398x = 457 × 457 - Step 4: Simplify right side
398x = 208,849 - Step 5: Solve for x
x = 208,849/398 - Step 6: Final answer
x = 524.75
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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.