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Finding the Third Proportional to 81,486 and 129,654

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Solution

The third proportional to 81,486 and 129,654 is: 206,295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,486 : 129,654 = 129,654 : x
  2. Step 2: Convert to fraction form
    81,486/129,654 = 129,654/x
  3. Step 3: Cross multiply
    81,486x = 129,654 × 129,654
  4. Step 4: Simplify right side
    81,486x = 16,810,159,716
  5. Step 5: Solve for x
    x = 16,810,159,716/81,486
  6. Step 6: Final answer
    x = 206,295.07

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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.