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Finding the Third Proportional to 57 and 62.63

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Solution

The third proportional to 57 and 62.63 is: 68.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57 : 62.63 = 62.63 : x
  2. Step 2: Convert to fraction form
    57/62.63 = 62.63/x
  3. Step 3: Cross multiply
    57x = 62.63 × 62.63
  4. Step 4: Simplify right side
    57x = 3,921.89
  5. Step 5: Solve for x
    x = 3,921.89/57
  6. Step 6: Final answer
    x = 68.81

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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.