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Finding the Third Proportional to 6.33 and 11.61

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Solution

The third proportional to 6.33 and 11.61 is: 21.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.33 : 11.61 = 11.61 : x
  2. Step 2: Convert to fraction form
    6.33/11.61 = 11.61/x
  3. Step 3: Cross multiply
    6.33x = 11.61 × 11.61
  4. Step 4: Simplify right side
    6.33x = 134.85
  5. Step 5: Solve for x
    x = 134.85/6.33
  6. Step 6: Final answer
    x = 21.29

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.