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Finding the Third Proportional to 6.39 and 14.05

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Solution

The third proportional to 6.39 and 14.05 is: 30.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.39 : 14.05 = 14.05 : x
  2. Step 2: Convert to fraction form
    6.39/14.05 = 14.05/x
  3. Step 3: Cross multiply
    6.39x = 14.05 × 14.05
  4. Step 4: Simplify right side
    6.39x = 197.31
  5. Step 5: Solve for x
    x = 197.31/6.39
  6. Step 6: Final answer
    x = 30.88

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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.