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Finding the Third Proportional to 131.44 and 166.97

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Solution

The third proportional to 131.44 and 166.97 is: 212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.44 : 166.97 = 166.97 : x
  2. Step 2: Convert to fraction form
    131.44/166.97 = 166.97/x
  3. Step 3: Cross multiply
    131.44x = 166.97 × 166.97
  4. Step 4: Simplify right side
    131.44x = 27,878.56
  5. Step 5: Solve for x
    x = 27,878.56/131.44
  6. Step 6: Final answer
    x = 212.11

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.