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Finding the Third Proportional to 57.55 and 86.12

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Solution

The third proportional to 57.55 and 86.12 is: 128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.55 : 86.12 = 86.12 : x
  2. Step 2: Convert to fraction form
    57.55/86.12 = 86.12/x
  3. Step 3: Cross multiply
    57.55x = 86.12 × 86.12
  4. Step 4: Simplify right side
    57.55x = 7,415.83
  5. Step 5: Solve for x
    x = 7,415.83/57.55
  6. Step 6: Final answer
    x = 128.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.