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Finding the Third Proportional to 20.29 and 41.65

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Solution

The third proportional to 20.29 and 41.65 is: 85.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.29 : 41.65 = 41.65 : x
  2. Step 2: Convert to fraction form
    20.29/41.65 = 41.65/x
  3. Step 3: Cross multiply
    20.29x = 41.65 × 41.65
  4. Step 4: Simplify right side
    20.29x = 1,734.47
  5. Step 5: Solve for x
    x = 1,734.47/20.29
  6. Step 6: Final answer
    x = 85.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.