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Finding the Third Proportional to 11.78 and 18.62

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Solution

The third proportional to 11.78 and 18.62 is: 29.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.78 : 18.62 = 18.62 : x
  2. Step 2: Convert to fraction form
    11.78/18.62 = 18.62/x
  3. Step 3: Cross multiply
    11.78x = 18.62 × 18.62
  4. Step 4: Simplify right side
    11.78x = 346.57
  5. Step 5: Solve for x
    x = 346.57/11.78
  6. Step 6: Final answer
    x = 29.41

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.