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Finding the Third Proportional to 11.26 and 18.30

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Solution

The third proportional to 11.26 and 18.30 is: 29.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.26 : 18.30 = 18.30 : x
  2. Step 2: Convert to fraction form
    11.26/18.30 = 18.30/x
  3. Step 3: Cross multiply
    11.26x = 18.30 × 18.30
  4. Step 4: Simplify right side
    11.26x = 334.85
  5. Step 5: Solve for x
    x = 334.85/11.26
  6. Step 6: Final answer
    x = 29.74

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.