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Finding the Third Proportional to 13.13 and 19.36

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Solution

The third proportional to 13.13 and 19.36 is: 28.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.13 : 19.36 = 19.36 : x
  2. Step 2: Convert to fraction form
    13.13/19.36 = 19.36/x
  3. Step 3: Cross multiply
    13.13x = 19.36 × 19.36
  4. Step 4: Simplify right side
    13.13x = 374.79
  5. Step 5: Solve for x
    x = 374.79/13.13
  6. Step 6: Final answer
    x = 28.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.