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Finding the Third Proportional to 81,868 and 126,420

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Solution

The third proportional to 81,868 and 126,420 is: 195,216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,868 : 126,420 = 126,420 : x
  2. Step 2: Convert to fraction form
    81,868/126,420 = 126,420/x
  3. Step 3: Cross multiply
    81,868x = 126,420 × 126,420
  4. Step 4: Simplify right side
    81,868x = 15,982,016,400
  5. Step 5: Solve for x
    x = 15,982,016,400/81,868
  6. Step 6: Final answer
    x = 195,216.89

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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.