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Finding the Third Proportional to 54,502 and 77,126

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Solution

The third proportional to 54,502 and 77,126 is: 109,141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,502 : 77,126 = 77,126 : x
  2. Step 2: Convert to fraction form
    54,502/77,126 = 77,126/x
  3. Step 3: Cross multiply
    54,502x = 77,126 × 77,126
  4. Step 4: Simplify right side
    54,502x = 5,948,419,876
  5. Step 5: Solve for x
    x = 5,948,419,876/54,502
  6. Step 6: Final answer
    x = 109,141.31

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.