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Finding the Third Proportional to 13.82 and 30.59

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Solution

The third proportional to 13.82 and 30.59 is: 67.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.82 : 30.59 = 30.59 : x
  2. Step 2: Convert to fraction form
    13.82/30.59 = 30.59/x
  3. Step 3: Cross multiply
    13.82x = 30.59 × 30.59
  4. Step 4: Simplify right side
    13.82x = 935.50
  5. Step 5: Solve for x
    x = 935.50/13.82
  6. Step 6: Final answer
    x = 67.71

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.