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Finding the Third Proportional to 381,143.25 and 557,388.75

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Solution

The third proportional to 381,143.25 and 557,388.75 is: 815,132.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,143.25 : 557,388.75 = 557,388.75 : x
  2. Step 2: Convert to fraction form
    381,143.25/557,388.75 = 557,388.75/x
  3. Step 3: Cross multiply
    381,143.25x = 557,388.75 × 557,388.75
  4. Step 4: Simplify right side
    381,143.25x = 310,682,218,626.56
  5. Step 5: Solve for x
    x = 310,682,218,626.56/381,143.25
  6. Step 6: Final answer
    x = 815,132.42

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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.