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Finding the Third Proportional to 57 and 64.31

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Solution

The third proportional to 57 and 64.31 is: 72.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57 : 64.31 = 64.31 : x
  2. Step 2: Convert to fraction form
    57/64.31 = 64.31/x
  3. Step 3: Cross multiply
    57x = 64.31 × 64.31
  4. Step 4: Simplify right side
    57x = 4,136.10
  5. Step 5: Solve for x
    x = 4,136.10/57
  6. Step 6: Final answer
    x = 72.56

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.