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Finding the Third Proportional to 203,943.75 and 381,552

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Solution

The third proportional to 203,943.75 and 381,552 is: 713,833.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,943.75 : 381,552 = 381,552 : x
  2. Step 2: Convert to fraction form
    203,943.75/381,552 = 381,552/x
  3. Step 3: Cross multiply
    203,943.75x = 381,552 × 381,552
  4. Step 4: Simplify right side
    203,943.75x = 145,581,928,704
  5. Step 5: Solve for x
    x = 145,581,928,704/203,943.75
  6. Step 6: Final answer
    x = 713,833.73

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.