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Finding the Third Proportional to 381,021.75 and 839,796.75

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Solution

The third proportional to 381,021.75 and 839,796.75 is: 1,850,966.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,021.75 : 839,796.75 = 839,796.75 : x
  2. Step 2: Convert to fraction form
    381,021.75/839,796.75 = 839,796.75/x
  3. Step 3: Cross multiply
    381,021.75x = 839,796.75 × 839,796.75
  4. Step 4: Simplify right side
    381,021.75x = 705,258,581,310.56
  5. Step 5: Solve for x
    x = 705,258,581,310.56/381,021.75
  6. Step 6: Final answer
    x = 1,850,966.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.