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Finding the Third Proportional to 11.82 and 16.12

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Solution

The third proportional to 11.82 and 16.12 is: 21.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.82 : 16.12 = 16.12 : x
  2. Step 2: Convert to fraction form
    11.82/16.12 = 16.12/x
  3. Step 3: Cross multiply
    11.82x = 16.12 × 16.12
  4. Step 4: Simplify right side
    11.82x = 259.81
  5. Step 5: Solve for x
    x = 259.81/11.82
  6. Step 6: Final answer
    x = 21.99

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.