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Finding the Third Proportional to 57.44 and 81.78

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Solution

The third proportional to 57.44 and 81.78 is: 116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.44 : 81.78 = 81.78 : x
  2. Step 2: Convert to fraction form
    57.44/81.78 = 81.78/x
  3. Step 3: Cross multiply
    57.44x = 81.78 × 81.78
  4. Step 4: Simplify right side
    57.44x = 6,688.17
  5. Step 5: Solve for x
    x = 6,688.17/57.44
  6. Step 6: Final answer
    x = 116.44

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.