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Finding the Third Proportional to 81,267 and 129,772.50

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Solution

The third proportional to 81,267 and 129,772.50 is: 207,229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,267 : 129,772.50 = 129,772.50 : x
  2. Step 2: Convert to fraction form
    81,267/129,772.50 = 129,772.50/x
  3. Step 3: Cross multiply
    81,267x = 129,772.50 × 129,772.50
  4. Step 4: Simplify right side
    81,267x = 16,840,901,756.25
  5. Step 5: Solve for x
    x = 16,840,901,756.25/81,267
  6. Step 6: Final answer
    x = 207,229.28

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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.