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Finding the Third Proportional to 13.27 and 19.48

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Solution

The third proportional to 13.27 and 19.48 is: 28.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.27 : 19.48 = 19.48 : x
  2. Step 2: Convert to fraction form
    13.27/19.48 = 19.48/x
  3. Step 3: Cross multiply
    13.27x = 19.48 × 19.48
  4. Step 4: Simplify right side
    13.27x = 379.34
  5. Step 5: Solve for x
    x = 379.34/13.27
  6. Step 6: Final answer
    x = 28.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.