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Finding the Third Proportional to 6.10 and 9.85

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Solution

The third proportional to 6.10 and 9.85 is: 15.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.10 : 9.85 = 9.85 : x
  2. Step 2: Convert to fraction form
    6.10/9.85 = 9.85/x
  3. Step 3: Cross multiply
    6.10x = 9.85 × 9.85
  4. Step 4: Simplify right side
    6.10x = 97.09
  5. Step 5: Solve for x
    x = 97.09/6.10
  6. Step 6: Final answer
    x = 15.92

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.