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Finding the Third Proportional to 11.84 and 18.39

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Solution

The third proportional to 11.84 and 18.39 is: 28.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.84 : 18.39 = 18.39 : x
  2. Step 2: Convert to fraction form
    11.84/18.39 = 18.39/x
  3. Step 3: Cross multiply
    11.84x = 18.39 × 18.39
  4. Step 4: Simplify right side
    11.84x = 338.19
  5. Step 5: Solve for x
    x = 338.19/11.84
  6. Step 6: Final answer
    x = 28.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.