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Finding the Third Proportional to 81,103 and 129,149

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Solution

The third proportional to 81,103 and 129,149 is: 205,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,103 : 129,149 = 129,149 : x
  2. Step 2: Convert to fraction form
    81,103/129,149 = 129,149/x
  3. Step 3: Cross multiply
    81,103x = 129,149 × 129,149
  4. Step 4: Simplify right side
    81,103x = 16,679,464,201
  5. Step 5: Solve for x
    x = 16,679,464,201/81,103
  6. Step 6: Final answer
    x = 205,657.80

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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.