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Finding the Third Proportional to 381,300.75 and 821,704.50

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Solution

The third proportional to 381,300.75 and 821,704.50 is: 1,770,776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,300.75 : 821,704.50 = 821,704.50 : x
  2. Step 2: Convert to fraction form
    381,300.75/821,704.50 = 821,704.50/x
  3. Step 3: Cross multiply
    381,300.75x = 821,704.50 × 821,704.50
  4. Step 4: Simplify right side
    381,300.75x = 675,198,285,320.25
  5. Step 5: Solve for x
    x = 675,198,285,320.25/381,300.75
  6. Step 6: Final answer
    x = 1,770,776.18

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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.