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Finding the Third Proportional to 41.29 and 55.21

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Solution

The third proportional to 41.29 and 55.21 is: 73.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.29 : 55.21 = 55.21 : x
  2. Step 2: Convert to fraction form
    41.29/55.21 = 55.21/x
  3. Step 3: Cross multiply
    41.29x = 55.21 × 55.21
  4. Step 4: Simplify right side
    41.29x = 3,048.46
  5. Step 5: Solve for x
    x = 3,048.46/41.29
  6. Step 6: Final answer
    x = 73.83

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.