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Finding the Third Proportional to 16.98 and 34.28

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Solution

The third proportional to 16.98 and 34.28 is: 69.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.98 : 34.28 = 34.28 : x
  2. Step 2: Convert to fraction form
    16.98/34.28 = 34.28/x
  3. Step 3: Cross multiply
    16.98x = 34.28 × 34.28
  4. Step 4: Simplify right side
    16.98x = 1,174.94
  5. Step 5: Solve for x
    x = 1,174.94/16.98
  6. Step 6: Final answer
    x = 69.19

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.