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Finding the Third Proportional to 81,420 and 129,234

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Solution

The third proportional to 81,420 and 129,234 is: 205,126.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,420 : 129,234 = 129,234 : x
  2. Step 2: Convert to fraction form
    81,420/129,234 = 129,234/x
  3. Step 3: Cross multiply
    81,420x = 129,234 × 129,234
  4. Step 4: Simplify right side
    81,420x = 16,701,426,756
  5. Step 5: Solve for x
    x = 16,701,426,756/81,420
  6. Step 6: Final answer
    x = 205,126.83

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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.