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Finding the Third Proportional to 81,639 and 126,171

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Solution

The third proportional to 81,639 and 126,171 is: 194,994.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,639 : 126,171 = 126,171 : x
  2. Step 2: Convert to fraction form
    81,639/126,171 = 126,171/x
  3. Step 3: Cross multiply
    81,639x = 126,171 × 126,171
  4. Step 4: Simplify right side
    81,639x = 15,919,121,241
  5. Step 5: Solve for x
    x = 15,919,121,241/81,639
  6. Step 6: Final answer
    x = 194,994.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.