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Finding the Third Proportional to 57.44 and 86.97

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Solution

The third proportional to 57.44 and 86.97 is: 131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.44 : 86.97 = 86.97 : x
  2. Step 2: Convert to fraction form
    57.44/86.97 = 86.97/x
  3. Step 3: Cross multiply
    57.44x = 86.97 × 86.97
  4. Step 4: Simplify right side
    57.44x = 7,563.56
  5. Step 5: Solve for x
    x = 7,563.56/57.44
  6. Step 6: Final answer
    x = 131.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.