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Finding the Third Proportional to 1,744 and 3,761.75

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Solution

The third proportional to 1,744 and 3,761.75 is: 8,113.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744 : 3,761.75 = 3,761.75 : x
  2. Step 2: Convert to fraction form
    1,744/3,761.75 = 3,761.75/x
  3. Step 3: Cross multiply
    1,744x = 3,761.75 × 3,761.75
  4. Step 4: Simplify right side
    1,744x = 14,150,763.06
  5. Step 5: Solve for x
    x = 14,150,763.06/1,744
  6. Step 6: Final answer
    x = 8,113.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.