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Finding the Third Proportional to 16.97 and 35.81

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Solution

The third proportional to 16.97 and 35.81 is: 75.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.97 : 35.81 = 35.81 : x
  2. Step 2: Convert to fraction form
    16.97/35.81 = 35.81/x
  3. Step 3: Cross multiply
    16.97x = 35.81 × 35.81
  4. Step 4: Simplify right side
    16.97x = 1,282.54
  5. Step 5: Solve for x
    x = 1,282.54/16.97
  6. Step 6: Final answer
    x = 75.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.