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Finding the Third Proportional to 381,631.50 and 823,344.75

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Solution

The third proportional to 381,631.50 and 823,344.75 is: 1,776,311.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,631.50 : 823,344.75 = 823,344.75 : x
  2. Step 2: Convert to fraction form
    381,631.50/823,344.75 = 823,344.75/x
  3. Step 3: Cross multiply
    381,631.50x = 823,344.75 × 823,344.75
  4. Step 4: Simplify right side
    381,631.50x = 677,896,577,352.56
  5. Step 5: Solve for x
    x = 677,896,577,352.56/381,631.50
  6. Step 6: Final answer
    x = 1,776,311.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.