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Finding the Third Proportional to 13.86 and 30.44

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Solution

The third proportional to 13.86 and 30.44 is: 66.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.86 : 30.44 = 30.44 : x
  2. Step 2: Convert to fraction form
    13.86/30.44 = 30.44/x
  3. Step 3: Cross multiply
    13.86x = 30.44 × 30.44
  4. Step 4: Simplify right side
    13.86x = 926.56
  5. Step 5: Solve for x
    x = 926.56/13.86
  6. Step 6: Final answer
    x = 66.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.