Finding the Third Proportional to 398 and 522
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Solution
The third proportional to 398 and 522 is: 684.63
Step by Step Solution
- Step 1: Write the proportion equation
398 : 522 = 522 : x - Step 2: Convert to fraction form
398/522 = 522/x - Step 3: Cross multiply
398x = 522 × 522 - Step 4: Simplify right side
398x = 272,484 - Step 5: Solve for x
x = 272,484/398 - Step 6: Final answer
x = 684.63
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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.