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Finding the Third Proportional to 57.31 and 62.78

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Solution

The third proportional to 57.31 and 62.78 is: 68.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.31 : 62.78 = 62.78 : x
  2. Step 2: Convert to fraction form
    57.31/62.78 = 62.78/x
  3. Step 3: Cross multiply
    57.31x = 62.78 × 62.78
  4. Step 4: Simplify right side
    57.31x = 3,941.49
  5. Step 5: Solve for x
    x = 3,941.49/57.31
  6. Step 6: Final answer
    x = 68.77

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.