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Finding the Third Proportional to 81,250 and 129,745

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Solution

The third proportional to 81,250 and 129,745 is: 207,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,250 : 129,745 = 129,745 : x
  2. Step 2: Convert to fraction form
    81,250/129,745 = 129,745/x
  3. Step 3: Cross multiply
    81,250x = 129,745 × 129,745
  4. Step 4: Simplify right side
    81,250x = 16,833,765,025
  5. Step 5: Solve for x
    x = 16,833,765,025/81,250
  6. Step 6: Final answer
    x = 207,184.80

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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.