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Finding the Third Proportional to 3,446.75 and 4,202.75

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Solution

The third proportional to 3,446.75 and 4,202.75 is: 5,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.75 : 4,202.75 = 4,202.75 : x
  2. Step 2: Convert to fraction form
    3,446.75/4,202.75 = 4,202.75/x
  3. Step 3: Cross multiply
    3,446.75x = 4,202.75 × 4,202.75
  4. Step 4: Simplify right side
    3,446.75x = 17,663,107.56
  5. Step 5: Solve for x
    x = 17,663,107.56/3,446.75
  6. Step 6: Final answer
    x = 5,124.57

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.