Finding the Third Proportional to 542,132 and 724,503
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Solution
The third proportional to 542,132 and 724,503 is: 968,222.86
Step by Step Solution
- Step 1: Write the proportion equation
542,132 : 724,503 = 724,503 : x - Step 2: Convert to fraction form
542,132/724,503 = 724,503/x - Step 3: Cross multiply
542,132x = 724,503 × 724,503 - Step 4: Simplify right side
542,132x = 524,904,597,009 - Step 5: Solve for x
x = 524,904,597,009/542,132 - Step 6: Final answer
x = 968,222.86
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Why These Related Problems?
These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.