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Finding the Third Proportional to 13.61 and 18.04

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Solution

The third proportional to 13.61 and 18.04 is: 23.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.61 : 18.04 = 18.04 : x
  2. Step 2: Convert to fraction form
    13.61/18.04 = 18.04/x
  3. Step 3: Cross multiply
    13.61x = 18.04 × 18.04
  4. Step 4: Simplify right side
    13.61x = 325.27
  5. Step 5: Solve for x
    x = 325.27/13.61
  6. Step 6: Final answer
    x = 23.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.