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Finding the Third Proportional to 7.11 and 15.39

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Solution

The third proportional to 7.11 and 15.39 is: 33.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.11 : 15.39 = 15.39 : x
  2. Step 2: Convert to fraction form
    7.11/15.39 = 15.39/x
  3. Step 3: Cross multiply
    7.11x = 15.39 × 15.39
  4. Step 4: Simplify right side
    7.11x = 236.70
  5. Step 5: Solve for x
    x = 236.70/7.11
  6. Step 6: Final answer
    x = 33.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.