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Finding the Third Proportional to 87.28 and 133.03

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Solution

The third proportional to 87.28 and 133.03 is: 202.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.28 : 133.03 = 133.03 : x
  2. Step 2: Convert to fraction form
    87.28/133.03 = 133.03/x
  3. Step 3: Cross multiply
    87.28x = 133.03 × 133.03
  4. Step 4: Simplify right side
    87.28x = 17,697.31
  5. Step 5: Solve for x
    x = 17,697.31/87.28
  6. Step 6: Final answer
    x = 202.76

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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.