Finding the Third Proportional to 398 and 464
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Solution
The third proportional to 398 and 464 is: 540.94
Step by Step Solution
- Step 1: Write the proportion equation
398 : 464 = 464 : x - Step 2: Convert to fraction form
398/464 = 464/x - Step 3: Cross multiply
398x = 464 × 464 - Step 4: Simplify right side
398x = 215,296 - Step 5: Solve for x
x = 215,296/398 - Step 6: Final answer
x = 540.94
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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.