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Finding the Third Proportional to 57.75 and 81.69

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Solution

The third proportional to 57.75 and 81.69 is: 115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.75 : 81.69 = 81.69 : x
  2. Step 2: Convert to fraction form
    57.75/81.69 = 81.69/x
  3. Step 3: Cross multiply
    57.75x = 81.69 × 81.69
  4. Step 4: Simplify right side
    57.75x = 6,672.85
  5. Step 5: Solve for x
    x = 6,672.85/57.75
  6. Step 6: Final answer
    x = 115.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.