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Finding the Third Proportional to 81,425 and 129,243

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Solution

The third proportional to 81,425 and 129,243 is: 205,142.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,425 : 129,243 = 129,243 : x
  2. Step 2: Convert to fraction form
    81,425/129,243 = 129,243/x
  3. Step 3: Cross multiply
    81,425x = 129,243 × 129,243
  4. Step 4: Simplify right side
    81,425x = 16,703,753,049
  5. Step 5: Solve for x
    x = 16,703,753,049/81,425
  6. Step 6: Final answer
    x = 205,142.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.