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Finding the Third Proportional to 57.47 and 86.02

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Solution

The third proportional to 57.47 and 86.02 is: 128.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.47 : 86.02 = 86.02 : x
  2. Step 2: Convert to fraction form
    57.47/86.02 = 86.02/x
  3. Step 3: Cross multiply
    57.47x = 86.02 × 86.02
  4. Step 4: Simplify right side
    57.47x = 7,398.69
  5. Step 5: Solve for x
    x = 7,398.69/57.47
  6. Step 6: Final answer
    x = 128.74

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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.