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Finding the Third Proportional to 2,682 and 3,997.50

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Solution

The third proportional to 2,682 and 3,997.50 is: 5,958.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682 : 3,997.50 = 3,997.50 : x
  2. Step 2: Convert to fraction form
    2,682/3,997.50 = 3,997.50/x
  3. Step 3: Cross multiply
    2,682x = 3,997.50 × 3,997.50
  4. Step 4: Simplify right side
    2,682x = 15,980,006.25
  5. Step 5: Solve for x
    x = 15,980,006.25/2,682
  6. Step 6: Final answer
    x = 5,958.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.