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Finding the Third Proportional to 81,769 and 115,957

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Solution

The third proportional to 81,769 and 115,957 is: 164,439.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,769 : 115,957 = 115,957 : x
  2. Step 2: Convert to fraction form
    81,769/115,957 = 115,957/x
  3. Step 3: Cross multiply
    81,769x = 115,957 × 115,957
  4. Step 4: Simplify right side
    81,769x = 13,446,025,849
  5. Step 5: Solve for x
    x = 13,446,025,849/81,769
  6. Step 6: Final answer
    x = 164,439.16

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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.