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Finding the Third Proportional to 135.56 and 171.56

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Solution

The third proportional to 135.56 and 171.56 is: 217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.56 : 171.56 = 171.56 : x
  2. Step 2: Convert to fraction form
    135.56/171.56 = 171.56/x
  3. Step 3: Cross multiply
    135.56x = 171.56 × 171.56
  4. Step 4: Simplify right side
    135.56x = 29,433.69
  5. Step 5: Solve for x
    x = 29,433.69/135.56
  6. Step 6: Final answer
    x = 217.12

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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.