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Finding the Third Proportional to 247,542 and 371,859

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Solution

The third proportional to 247,542 and 371,859 is: 558,608.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,542 : 371,859 = 371,859 : x
  2. Step 2: Convert to fraction form
    247,542/371,859 = 371,859/x
  3. Step 3: Cross multiply
    247,542x = 371,859 × 371,859
  4. Step 4: Simplify right side
    247,542x = 138,279,115,881
  5. Step 5: Solve for x
    x = 138,279,115,881/247,542
  6. Step 6: Final answer
    x = 558,608.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.