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Finding the Third Proportional to 6.45 and 13.61

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Solution

The third proportional to 6.45 and 13.61 is: 28.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.45 : 13.61 = 13.61 : x
  2. Step 2: Convert to fraction form
    6.45/13.61 = 13.61/x
  3. Step 3: Cross multiply
    6.45x = 13.61 × 13.61
  4. Step 4: Simplify right side
    6.45x = 185.11
  5. Step 5: Solve for x
    x = 185.11/6.45
  6. Step 6: Final answer
    x = 28.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.