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Finding the Third Proportional to 82,161 and 129,989.25

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Solution

The third proportional to 82,161 and 129,989.25 is: 205,659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,161 : 129,989.25 = 129,989.25 : x
  2. Step 2: Convert to fraction form
    82,161/129,989.25 = 129,989.25/x
  3. Step 3: Cross multiply
    82,161x = 129,989.25 × 129,989.25
  4. Step 4: Simplify right side
    82,161x = 16,897,205,115.56
  5. Step 5: Solve for x
    x = 16,897,205,115.56/82,161
  6. Step 6: Final answer
    x = 205,659.68

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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.