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Finding the Third Proportional to 81,261 and 129,763.50

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Solution

The third proportional to 81,261 and 129,763.50 is: 207,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,261 : 129,763.50 = 129,763.50 : x
  2. Step 2: Convert to fraction form
    81,261/129,763.50 = 129,763.50/x
  3. Step 3: Cross multiply
    81,261x = 129,763.50 × 129,763.50
  4. Step 4: Simplify right side
    81,261x = 16,838,565,932.25
  5. Step 5: Solve for x
    x = 16,838,565,932.25/81,261
  6. Step 6: Final answer
    x = 207,215.83

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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.