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Finding the Third Proportional to 81,947 and 125,108

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Solution

The third proportional to 81,947 and 125,108 is: 191,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,947 : 125,108 = 125,108 : x
  2. Step 2: Convert to fraction form
    81,947/125,108 = 125,108/x
  3. Step 3: Cross multiply
    81,947x = 125,108 × 125,108
  4. Step 4: Simplify right side
    81,947x = 15,652,011,664
  5. Step 5: Solve for x
    x = 15,652,011,664/81,947
  6. Step 6: Final answer
    x = 191,001.64

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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.