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Finding the Third Proportional to 278,882 and 418,959

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Solution

The third proportional to 278,882 and 418,959 is: 629,393.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,882 : 418,959 = 418,959 : x
  2. Step 2: Convert to fraction form
    278,882/418,959 = 418,959/x
  3. Step 3: Cross multiply
    278,882x = 418,959 × 418,959
  4. Step 4: Simplify right side
    278,882x = 175,526,643,681
  5. Step 5: Solve for x
    x = 175,526,643,681/278,882
  6. Step 6: Final answer
    x = 629,393.95

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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.