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Finding the Third Proportional to 81.42 and 163.97

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Solution

The third proportional to 81.42 and 163.97 is: 330.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.42 : 163.97 = 163.97 : x
  2. Step 2: Convert to fraction form
    81.42/163.97 = 163.97/x
  3. Step 3: Cross multiply
    81.42x = 163.97 × 163.97
  4. Step 4: Simplify right side
    81.42x = 26,885.75
  5. Step 5: Solve for x
    x = 26,885.75/81.42
  6. Step 6: Final answer
    x = 330.20

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.