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Finding the Third Proportional to 16 and 38.69

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Solution

The third proportional to 16 and 38.69 is: 93.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16 : 38.69 = 38.69 : x
  2. Step 2: Convert to fraction form
    16/38.69 = 38.69/x
  3. Step 3: Cross multiply
    16x = 38.69 × 38.69
  4. Step 4: Simplify right side
    16x = 1,496.72
  5. Step 5: Solve for x
    x = 1,496.72/16
  6. Step 6: Final answer
    x = 93.55

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.