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Finding the Third Proportional to 81,856 and 126,402

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Solution

The third proportional to 81,856 and 126,402 is: 195,189.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,856 : 126,402 = 126,402 : x
  2. Step 2: Convert to fraction form
    81,856/126,402 = 126,402/x
  3. Step 3: Cross multiply
    81,856x = 126,402 × 126,402
  4. Step 4: Simplify right side
    81,856x = 15,977,465,604
  5. Step 5: Solve for x
    x = 15,977,465,604/81,856
  6. Step 6: Final answer
    x = 195,189.91

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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.