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Finding the Third Proportional to 278,694 and 610,542

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Solution

The third proportional to 278,694 and 610,542 is: 1,337,529.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,694 : 610,542 = 610,542 : x
  2. Step 2: Convert to fraction form
    278,694/610,542 = 610,542/x
  3. Step 3: Cross multiply
    278,694x = 610,542 × 610,542
  4. Step 4: Simplify right side
    278,694x = 372,761,533,764
  5. Step 5: Solve for x
    x = 372,761,533,764/278,694
  6. Step 6: Final answer
    x = 1,337,529.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.