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Finding the Third Proportional to 81,102 and 129,147

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Solution

The third proportional to 81,102 and 129,147 is: 205,653.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,102 : 129,147 = 129,147 : x
  2. Step 2: Convert to fraction form
    81,102/129,147 = 129,147/x
  3. Step 3: Cross multiply
    81,102x = 129,147 × 129,147
  4. Step 4: Simplify right side
    81,102x = 16,678,947,609
  5. Step 5: Solve for x
    x = 16,678,947,609/81,102
  6. Step 6: Final answer
    x = 205,653.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.