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Finding the Third Proportional to 3.19 and 7.61

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Solution

The third proportional to 3.19 and 7.61 is: 18.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.19 : 7.61 = 7.61 : x
  2. Step 2: Convert to fraction form
    3.19/7.61 = 7.61/x
  3. Step 3: Cross multiply
    3.19x = 7.61 × 7.61
  4. Step 4: Simplify right side
    3.19x = 57.90
  5. Step 5: Solve for x
    x = 57.90/3.19
  6. Step 6: Final answer
    x = 18.17

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.