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Finding the Third Proportional to 278,277 and 419,997.75

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Solution

The third proportional to 278,277 and 419,997.75 is: 633,893.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,277 : 419,997.75 = 419,997.75 : x
  2. Step 2: Convert to fraction form
    278,277/419,997.75 = 419,997.75/x
  3. Step 3: Cross multiply
    278,277x = 419,997.75 × 419,997.75
  4. Step 4: Simplify right side
    278,277x = 176,398,110,005.06
  5. Step 5: Solve for x
    x = 176,398,110,005.06/278,277
  6. Step 6: Final answer
    x = 633,893.96

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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.