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Finding the Third Proportional to 6.96 and 16.67

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Solution

The third proportional to 6.96 and 16.67 is: 39.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.96 : 16.67 = 16.67 : x
  2. Step 2: Convert to fraction form
    6.96/16.67 = 16.67/x
  3. Step 3: Cross multiply
    6.96x = 16.67 × 16.67
  4. Step 4: Simplify right side
    6.96x = 277.82
  5. Step 5: Solve for x
    x = 277.82/6.96
  6. Step 6: Final answer
    x = 39.89

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.