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Finding the Third Proportional to 5.05 and 7.85

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Solution

The third proportional to 5.05 and 7.85 is: 12.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.05 : 7.85 = 7.85 : x
  2. Step 2: Convert to fraction form
    5.05/7.85 = 7.85/x
  3. Step 3: Cross multiply
    5.05x = 7.85 × 7.85
  4. Step 4: Simplify right side
    5.05x = 61.59
  5. Step 5: Solve for x
    x = 61.59/5.05
  6. Step 6: Final answer
    x = 12.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.