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Finding the Third Proportional to 378,606 and 809,742

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Solution

The third proportional to 378,606 and 809,742 is: 1,731,832.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,606 : 809,742 = 809,742 : x
  2. Step 2: Convert to fraction form
    378,606/809,742 = 809,742/x
  3. Step 3: Cross multiply
    378,606x = 809,742 × 809,742
  4. Step 4: Simplify right side
    378,606x = 655,682,106,564
  5. Step 5: Solve for x
    x = 655,682,106,564/378,606
  6. Step 6: Final answer
    x = 1,731,832.32

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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.