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Finding the Third Proportional to 16.78 and 25.27

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Solution

The third proportional to 16.78 and 25.27 is: 38.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.78 : 25.27 = 25.27 : x
  2. Step 2: Convert to fraction form
    16.78/25.27 = 25.27/x
  3. Step 3: Cross multiply
    16.78x = 25.27 × 25.27
  4. Step 4: Simplify right side
    16.78x = 638.35
  5. Step 5: Solve for x
    x = 638.35/16.78
  6. Step 6: Final answer
    x = 38.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.