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Finding the Third Proportional to 57.28 and 87.28

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Solution

The third proportional to 57.28 and 87.28 is: 132.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.28 : 87.28 = 87.28 : x
  2. Step 2: Convert to fraction form
    57.28/87.28 = 87.28/x
  3. Step 3: Cross multiply
    57.28x = 87.28 × 87.28
  4. Step 4: Simplify right side
    57.28x = 7,618.02
  5. Step 5: Solve for x
    x = 7,618.02/57.28
  6. Step 6: Final answer
    x = 132.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.