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Finding the Third Proportional to 13.50 and 19.13

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Solution

The third proportional to 13.50 and 19.13 is: 27.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.50 : 19.13 = 19.13 : x
  2. Step 2: Convert to fraction form
    13.50/19.13 = 19.13/x
  3. Step 3: Cross multiply
    13.50x = 19.13 × 19.13
  4. Step 4: Simplify right side
    13.50x = 365.77
  5. Step 5: Solve for x
    x = 365.77/13.50
  6. Step 6: Final answer
    x = 27.09

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.