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Finding the Third Proportional to 7.22 and 11.66

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Solution

The third proportional to 7.22 and 11.66 is: 18.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.22 : 11.66 = 11.66 : x
  2. Step 2: Convert to fraction form
    7.22/11.66 = 11.66/x
  3. Step 3: Cross multiply
    7.22x = 11.66 × 11.66
  4. Step 4: Simplify right side
    7.22x = 135.88
  5. Step 5: Solve for x
    x = 135.88/7.22
  6. Step 6: Final answer
    x = 18.81

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.