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Finding the Third Proportional to 57 and 67.88

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Solution

The third proportional to 57 and 67.88 is: 80.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57 : 67.88 = 67.88 : x
  2. Step 2: Convert to fraction form
    57/67.88 = 67.88/x
  3. Step 3: Cross multiply
    57x = 67.88 × 67.88
  4. Step 4: Simplify right side
    57x = 4,607.02
  5. Step 5: Solve for x
    x = 4,607.02/57
  6. Step 6: Final answer
    x = 80.82

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.