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Finding the Third Proportional to 81.28 and 126.42

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Solution

The third proportional to 81.28 and 126.42 is: 196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.28 : 126.42 = 126.42 : x
  2. Step 2: Convert to fraction form
    81.28/126.42 = 126.42/x
  3. Step 3: Cross multiply
    81.28x = 126.42 × 126.42
  4. Step 4: Simplify right side
    81.28x = 15,982.49
  5. Step 5: Solve for x
    x = 15,982.49/81.28
  6. Step 6: Final answer
    x = 196.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.