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Finding the Third Proportional to 81,856 and 126,400

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Solution

The third proportional to 81,856 and 126,400 is: 195,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,856 : 126,400 = 126,400 : x
  2. Step 2: Convert to fraction form
    81,856/126,400 = 126,400/x
  3. Step 3: Cross multiply
    81,856x = 126,400 × 126,400
  4. Step 4: Simplify right side
    81,856x = 15,976,960,000
  5. Step 5: Solve for x
    x = 15,976,960,000/81,856
  6. Step 6: Final answer
    x = 195,183.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.