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Finding the Third Proportional to 381,977.44 and 809,488.13

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Solution

The third proportional to 381,977.44 and 809,488.13 is: 1,715,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,977.44 : 809,488.13 = 809,488.13 : x
  2. Step 2: Convert to fraction form
    381,977.44/809,488.13 = 809,488.13/x
  3. Step 3: Cross multiply
    381,977.44x = 809,488.13 × 809,488.13
  4. Step 4: Simplify right side
    381,977.44x = 655,271,024,516.02
  5. Step 5: Solve for x
    x = 655,271,024,516.02/381,977.44
  6. Step 6: Final answer
    x = 1,715,470.50

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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.