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Finding the Third Proportional to 20.81 and 31.41

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Solution

The third proportional to 20.81 and 31.41 is: 47.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.81 : 31.41 = 31.41 : x
  2. Step 2: Convert to fraction form
    20.81/31.41 = 31.41/x
  3. Step 3: Cross multiply
    20.81x = 31.41 × 31.41
  4. Step 4: Simplify right side
    20.81x = 986.35
  5. Step 5: Solve for x
    x = 986.35/20.81
  6. Step 6: Final answer
    x = 47.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.