Finding the Third Proportional to 288 and 432
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Solution
The third proportional to 288 and 432 is: 648
Step by Step Solution
- Step 1: Write the proportion equation
288 : 432 = 432 : x - Step 2: Convert to fraction form
288/432 = 432/x - Step 3: Cross multiply
288x = 432 × 432 - Step 4: Simplify right side
288x = 186,624 - Step 5: Solve for x
x = 186,624/288 - Step 6: Final answer
x = 648
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.