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Finding the Third Proportional to 278,840 and 420,876

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Solution

The third proportional to 278,840 and 420,876 is: 635,262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,840 : 420,876 = 420,876 : x
  2. Step 2: Convert to fraction form
    278,840/420,876 = 420,876/x
  3. Step 3: Cross multiply
    278,840x = 420,876 × 420,876
  4. Step 4: Simplify right side
    278,840x = 177,136,607,376
  5. Step 5: Solve for x
    x = 177,136,607,376/278,840
  6. Step 6: Final answer
    x = 635,262.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.