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Finding the Third Proportional to 13.75 and 19.44

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Solution

The third proportional to 13.75 and 19.44 is: 27.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.75 : 19.44 = 19.44 : x
  2. Step 2: Convert to fraction form
    13.75/19.44 = 19.44/x
  3. Step 3: Cross multiply
    13.75x = 19.44 × 19.44
  4. Step 4: Simplify right side
    13.75x = 377.82
  5. Step 5: Solve for x
    x = 377.82/13.75
  6. Step 6: Final answer
    x = 27.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.