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Finding the Third Proportional to 81,972 and 129,640.50

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Solution

The third proportional to 81,972 and 129,640.50 is: 205,029.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,972 : 129,640.50 = 129,640.50 : x
  2. Step 2: Convert to fraction form
    81,972/129,640.50 = 129,640.50/x
  3. Step 3: Cross multiply
    81,972x = 129,640.50 × 129,640.50
  4. Step 4: Simplify right side
    81,972x = 16,806,659,240.25
  5. Step 5: Solve for x
    x = 16,806,659,240.25/81,972
  6. Step 6: Final answer
    x = 205,029.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.