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Finding the Third Proportional to 16.28 and 33.42

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Solution

The third proportional to 16.28 and 33.42 is: 68.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.28 : 33.42 = 33.42 : x
  2. Step 2: Convert to fraction form
    16.28/33.42 = 33.42/x
  3. Step 3: Cross multiply
    16.28x = 33.42 × 33.42
  4. Step 4: Simplify right side
    16.28x = 1,117.23
  5. Step 5: Solve for x
    x = 1,117.23/16.28
  6. Step 6: Final answer
    x = 68.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.