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Finding the Third Proportional to 381,976.88 and 809,487.56

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Solution

The third proportional to 381,976.88 and 809,487.56 is: 1,715,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,976.88 : 809,487.56 = 809,487.56 : x
  2. Step 2: Convert to fraction form
    381,976.88/809,487.56 = 809,487.56/x
  3. Step 3: Cross multiply
    381,976.88x = 809,487.56 × 809,487.56
  4. Step 4: Simplify right side
    381,976.88x = 655,270,113,842.19
  5. Step 5: Solve for x
    x = 655,270,113,842.19/381,976.88
  6. Step 6: Final answer
    x = 1,715,470.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.