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Finding the Third Proportional to 378,616 and 809,766

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Solution

The third proportional to 378,616 and 809,766 is: 1,731,889.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,616 : 809,766 = 809,766 : x
  2. Step 2: Convert to fraction form
    378,616/809,766 = 809,766/x
  3. Step 3: Cross multiply
    378,616x = 809,766 × 809,766
  4. Step 4: Simplify right side
    378,616x = 655,720,974,756
  5. Step 5: Solve for x
    x = 655,720,974,756/378,616
  6. Step 6: Final answer
    x = 1,731,889.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.