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Finding the Third Proportional to 81,342 and 129,879

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Solution

The third proportional to 81,342 and 129,879 is: 207,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,342 : 129,879 = 129,879 : x
  2. Step 2: Convert to fraction form
    81,342/129,879 = 129,879/x
  3. Step 3: Cross multiply
    81,342x = 129,879 × 129,879
  4. Step 4: Simplify right side
    81,342x = 16,868,554,641
  5. Step 5: Solve for x
    x = 16,868,554,641/81,342
  6. Step 6: Final answer
    x = 207,378.16

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.