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Finding the Third Proportional to 278,612 and 418,542

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Solution

The third proportional to 278,612 and 418,542 is: 628,750.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,612 : 418,542 = 418,542 : x
  2. Step 2: Convert to fraction form
    278,612/418,542 = 418,542/x
  3. Step 3: Cross multiply
    278,612x = 418,542 × 418,542
  4. Step 4: Simplify right side
    278,612x = 175,177,405,764
  5. Step 5: Solve for x
    x = 175,177,405,764/278,612
  6. Step 6: Final answer
    x = 628,750.40

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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.