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Finding the Third Proportional to 13.11 and 19.18

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Solution

The third proportional to 13.11 and 19.18 is: 28.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.11 : 19.18 = 19.18 : x
  2. Step 2: Convert to fraction form
    13.11/19.18 = 19.18/x
  3. Step 3: Cross multiply
    13.11x = 19.18 × 19.18
  4. Step 4: Simplify right side
    13.11x = 367.90
  5. Step 5: Solve for x
    x = 367.90/13.11
  6. Step 6: Final answer
    x = 28.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.