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Finding the Third Proportional to 81,949 and 125,111

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Solution

The third proportional to 81,949 and 125,111 is: 191,006.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,949 : 125,111 = 125,111 : x
  2. Step 2: Convert to fraction form
    81,949/125,111 = 125,111/x
  3. Step 3: Cross multiply
    81,949x = 125,111 × 125,111
  4. Step 4: Simplify right side
    81,949x = 15,652,762,321
  5. Step 5: Solve for x
    x = 15,652,762,321/81,949
  6. Step 6: Final answer
    x = 191,006.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.