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Finding the Third Proportional to 15.38 and 20.16

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Solution

The third proportional to 15.38 and 20.16 is: 26.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.38 : 20.16 = 20.16 : x
  2. Step 2: Convert to fraction form
    15.38/20.16 = 20.16/x
  3. Step 3: Cross multiply
    15.38x = 20.16 × 20.16
  4. Step 4: Simplify right side
    15.38x = 406.27
  5. Step 5: Solve for x
    x = 406.27/15.38
  6. Step 6: Final answer
    x = 26.42

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.