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Finding the Third Proportional to 6.39 and 15.41

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Solution

The third proportional to 6.39 and 15.41 is: 37.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.39 : 15.41 = 15.41 : x
  2. Step 2: Convert to fraction form
    6.39/15.41 = 15.41/x
  3. Step 3: Cross multiply
    6.39x = 15.41 × 15.41
  4. Step 4: Simplify right side
    6.39x = 237.53
  5. Step 5: Solve for x
    x = 237.53/6.39
  6. Step 6: Final answer
    x = 37.15

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.