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Finding the Third Proportional to 3.31 and 5.05

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Solution

The third proportional to 3.31 and 5.05 is: 7.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.31 : 5.05 = 5.05 : x
  2. Step 2: Convert to fraction form
    3.31/5.05 = 5.05/x
  3. Step 3: Cross multiply
    3.31x = 5.05 × 5.05
  4. Step 4: Simplify right side
    3.31x = 25.52
  5. Step 5: Solve for x
    x = 25.52/3.31
  6. Step 6: Final answer
    x = 7.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.