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Finding the Third Proportional to 2,202.75 and 3,846.75

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Solution

The third proportional to 2,202.75 and 3,846.75 is: 6,717.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.75 : 3,846.75 = 3,846.75 : x
  2. Step 2: Convert to fraction form
    2,202.75/3,846.75 = 3,846.75/x
  3. Step 3: Cross multiply
    2,202.75x = 3,846.75 × 3,846.75
  4. Step 4: Simplify right side
    2,202.75x = 14,797,485.56
  5. Step 5: Solve for x
    x = 14,797,485.56/2,202.75
  6. Step 6: Final answer
    x = 6,717.73

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.