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Finding the Third Proportional to 13.82 and 21.15

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Solution

The third proportional to 13.82 and 21.15 is: 32.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.82 : 21.15 = 21.15 : x
  2. Step 2: Convert to fraction form
    13.82/21.15 = 21.15/x
  3. Step 3: Cross multiply
    13.82x = 21.15 × 21.15
  4. Step 4: Simplify right side
    13.82x = 447.17
  5. Step 5: Solve for x
    x = 447.17/13.82
  6. Step 6: Final answer
    x = 32.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.