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Finding the Third Proportional to 20.41 and 31.80

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Solution

The third proportional to 20.41 and 31.80 is: 49.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.41 : 31.80 = 31.80 : x
  2. Step 2: Convert to fraction form
    20.41/31.80 = 31.80/x
  3. Step 3: Cross multiply
    20.41x = 31.80 × 31.80
  4. Step 4: Simplify right side
    20.41x = 1,011.17
  5. Step 5: Solve for x
    x = 1,011.17/20.41
  6. Step 6: Final answer
    x = 49.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.