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Finding the Third Proportional to 2,678.44 and 3,912.94

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Solution

The third proportional to 2,678.44 and 3,912.94 is: 5,716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.44 : 3,912.94 = 3,912.94 : x
  2. Step 2: Convert to fraction form
    2,678.44/3,912.94 = 3,912.94/x
  3. Step 3: Cross multiply
    2,678.44x = 3,912.94 × 3,912.94
  4. Step 4: Simplify right side
    2,678.44x = 15,311,079.88
  5. Step 5: Solve for x
    x = 15,311,079.88/2,678.44
  6. Step 6: Final answer
    x = 5,716.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.