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Finding the Third Proportional to 381,979.50 and 809,491.50

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Solution

The third proportional to 381,979.50 and 809,491.50 is: 1,715,475.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,979.50 : 809,491.50 = 809,491.50 : x
  2. Step 2: Convert to fraction form
    381,979.50/809,491.50 = 809,491.50/x
  3. Step 3: Cross multiply
    381,979.50x = 809,491.50 × 809,491.50
  4. Step 4: Simplify right side
    381,979.50x = 655,276,488,572.25
  5. Step 5: Solve for x
    x = 655,276,488,572.25/381,979.50
  6. Step 6: Final answer
    x = 1,715,475.54

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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.