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Finding the Third Proportional to 73,469 and 81,137

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Solution

The third proportional to 73,469 and 81,137 is: 89,605.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,469 : 81,137 = 81,137 : x
  2. Step 2: Convert to fraction form
    73,469/81,137 = 81,137/x
  3. Step 3: Cross multiply
    73,469x = 81,137 × 81,137
  4. Step 4: Simplify right side
    73,469x = 6,583,212,769
  5. Step 5: Solve for x
    x = 6,583,212,769/73,469
  6. Step 6: Final answer
    x = 89,605.31

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.