Finding the Third Proportional to 432 and 642
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Solution
The third proportional to 432 and 642 is: 954.08
Step by Step Solution
- Step 1: Write the proportion equation
432 : 642 = 642 : x - Step 2: Convert to fraction form
432/642 = 642/x - Step 3: Cross multiply
432x = 642 × 642 - Step 4: Simplify right side
432x = 412,164 - Step 5: Solve for x
x = 412,164/432 - Step 6: Final answer
x = 954.08
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.