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Finding the Third Proportional to 3.31 and 3.90

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Solution

The third proportional to 3.31 and 3.90 is: 4.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.31 : 3.90 = 3.90 : x
  2. Step 2: Convert to fraction form
    3.31/3.90 = 3.90/x
  3. Step 3: Cross multiply
    3.31x = 3.90 × 3.90
  4. Step 4: Simplify right side
    3.31x = 15.23
  5. Step 5: Solve for x
    x = 15.23/3.31
  6. Step 6: Final answer
    x = 4.59

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.