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Finding the Third Proportional to 278,542 and 418,431

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Solution

The third proportional to 278,542 and 418,431 is: 628,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,542 : 418,431 = 418,431 : x
  2. Step 2: Convert to fraction form
    278,542/418,431 = 418,431/x
  3. Step 3: Cross multiply
    278,542x = 418,431 × 418,431
  4. Step 4: Simplify right side
    278,542x = 175,084,501,761
  5. Step 5: Solve for x
    x = 175,084,501,761/278,542
  6. Step 6: Final answer
    x = 628,574.87

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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.