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Finding the Third Proportional to 16.54 and 25.66

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Solution

The third proportional to 16.54 and 25.66 is: 39.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.54 : 25.66 = 25.66 : x
  2. Step 2: Convert to fraction form
    16.54/25.66 = 25.66/x
  3. Step 3: Cross multiply
    16.54x = 25.66 × 25.66
  4. Step 4: Simplify right side
    16.54x = 658.33
  5. Step 5: Solve for x
    x = 658.33/16.54
  6. Step 6: Final answer
    x = 39.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.