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Finding the Third Proportional to 278,883 and 418,961

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Solution

The third proportional to 278,883 and 418,961 is: 629,397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,883 : 418,961 = 418,961 : x
  2. Step 2: Convert to fraction form
    278,883/418,961 = 418,961/x
  3. Step 3: Cross multiply
    278,883x = 418,961 × 418,961
  4. Step 4: Simplify right side
    278,883x = 175,528,319,521
  5. Step 5: Solve for x
    x = 175,528,319,521/278,883
  6. Step 6: Final answer
    x = 629,397.70

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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.