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Finding the Third Proportional to 87.41 and 122.28

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Solution

The third proportional to 87.41 and 122.28 is: 171.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.41 : 122.28 = 122.28 : x
  2. Step 2: Convert to fraction form
    87.41/122.28 = 122.28/x
  3. Step 3: Cross multiply
    87.41x = 122.28 × 122.28
  4. Step 4: Simplify right side
    87.41x = 14,952.70
  5. Step 5: Solve for x
    x = 14,952.70/87.41
  6. Step 6: Final answer
    x = 171.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.