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Finding the Third Proportional to 6.85 and 17.79

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Solution

The third proportional to 6.85 and 17.79 is: 46.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.85 : 17.79 = 17.79 : x
  2. Step 2: Convert to fraction form
    6.85/17.79 = 17.79/x
  3. Step 3: Cross multiply
    6.85x = 17.79 × 17.79
  4. Step 4: Simplify right side
    6.85x = 316.38
  5. Step 5: Solve for x
    x = 316.38/6.85
  6. Step 6: Final answer
    x = 46.20

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.