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Finding the Third Proportional to 8.22 and 11.82

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Solution

The third proportional to 8.22 and 11.82 is: 16.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.22 : 11.82 = 11.82 : x
  2. Step 2: Convert to fraction form
    8.22/11.82 = 11.82/x
  3. Step 3: Cross multiply
    8.22x = 11.82 × 11.82
  4. Step 4: Simplify right side
    8.22x = 139.62
  5. Step 5: Solve for x
    x = 139.62/8.22
  6. Step 6: Final answer
    x = 16.99

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.