Finding the Third Proportional to 432 and 496
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Solution
The third proportional to 432 and 496 is: 569.48
Step by Step Solution
- Step 1: Write the proportion equation
432 : 496 = 496 : x - Step 2: Convert to fraction form
432/496 = 496/x - Step 3: Cross multiply
432x = 496 × 496 - Step 4: Simplify right side
432x = 246,016 - Step 5: Solve for x
x = 246,016/432 - Step 6: Final answer
x = 569.48
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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.