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Finding the Third Proportional to 57.48 and 86.74

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Solution

The third proportional to 57.48 and 86.74 is: 130.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.48 : 86.74 = 86.74 : x
  2. Step 2: Convert to fraction form
    57.48/86.74 = 86.74/x
  3. Step 3: Cross multiply
    57.48x = 86.74 × 86.74
  4. Step 4: Simplify right side
    57.48x = 7,524.21
  5. Step 5: Solve for x
    x = 7,524.21/57.48
  6. Step 6: Final answer
    x = 130.89

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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.