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Finding the Third Proportional to 13.92 and 21.09

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Solution

The third proportional to 13.92 and 21.09 is: 31.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.92 : 21.09 = 21.09 : x
  2. Step 2: Convert to fraction form
    13.92/21.09 = 21.09/x
  3. Step 3: Cross multiply
    13.92x = 21.09 × 21.09
  4. Step 4: Simplify right side
    13.92x = 444.95
  5. Step 5: Solve for x
    x = 444.95/13.92
  6. Step 6: Final answer
    x = 31.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.