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Finding the Third Proportional to 2,144.67 and 3,319.17

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Solution

The third proportional to 2,144.67 and 3,319.17 is: 5,136.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.67 : 3,319.17 = 3,319.17 : x
  2. Step 2: Convert to fraction form
    2,144.67/3,319.17 = 3,319.17/x
  3. Step 3: Cross multiply
    2,144.67x = 3,319.17 × 3,319.17
  4. Step 4: Simplify right side
    2,144.67x = 11,016,901.94
  5. Step 5: Solve for x
    x = 11,016,901.94/2,144.67
  6. Step 6: Final answer
    x = 5,136.87

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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.