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Finding the Third Proportional to 278,689 and 387,775

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Solution

The third proportional to 278,689 and 387,775 is: 539,560.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,689 : 387,775 = 387,775 : x
  2. Step 2: Convert to fraction form
    278,689/387,775 = 387,775/x
  3. Step 3: Cross multiply
    278,689x = 387,775 × 387,775
  4. Step 4: Simplify right side
    278,689x = 150,369,450,625
  5. Step 5: Solve for x
    x = 150,369,450,625/278,689
  6. Step 6: Final answer
    x = 539,560.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.