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Finding the Third Proportional to 84,581 and 126,872

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Solution

The third proportional to 84,581 and 126,872 is: 190,308.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,581 : 126,872 = 126,872 : x
  2. Step 2: Convert to fraction form
    84,581/126,872 = 126,872/x
  3. Step 3: Cross multiply
    84,581x = 126,872 × 126,872
  4. Step 4: Simplify right side
    84,581x = 16,096,504,384
  5. Step 5: Solve for x
    x = 16,096,504,384/84,581
  6. Step 6: Final answer
    x = 190,308.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.