Finding the Third Proportional to 287 and 331
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Solution
The third proportional to 287 and 331 is: 381.75
Step by Step Solution
- Step 1: Write the proportion equation
287 : 331 = 331 : x - Step 2: Convert to fraction form
287/331 = 331/x - Step 3: Cross multiply
287x = 331 × 331 - Step 4: Simplify right side
287x = 109,561 - Step 5: Solve for x
x = 109,561/287 - Step 6: Final answer
x = 381.75
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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.