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Finding the Third Proportional to 378,583 and 809,694

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Solution

The third proportional to 378,583 and 809,694 is: 1,731,732.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,583 : 809,694 = 809,694 : x
  2. Step 2: Convert to fraction form
    378,583/809,694 = 809,694/x
  3. Step 3: Cross multiply
    378,583x = 809,694 × 809,694
  4. Step 4: Simplify right side
    378,583x = 655,604,373,636
  5. Step 5: Solve for x
    x = 655,604,373,636/378,583
  6. Step 6: Final answer
    x = 1,731,732.21

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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.