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Finding the Third Proportional to 81.38 and 170.38

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Solution

The third proportional to 81.38 and 170.38 is: 356.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.38 : 170.38 = 170.38 : x
  2. Step 2: Convert to fraction form
    81.38/170.38 = 170.38/x
  3. Step 3: Cross multiply
    81.38x = 170.38 × 170.38
  4. Step 4: Simplify right side
    81.38x = 29,027.64
  5. Step 5: Solve for x
    x = 29,027.64/81.38
  6. Step 6: Final answer
    x = 356.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.