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Finding the Third Proportional to 378,505 and 809,498

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Solution

The third proportional to 378,505 and 809,498 is: 1,731,250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,505 : 809,498 = 809,498 : x
  2. Step 2: Convert to fraction form
    378,505/809,498 = 809,498/x
  3. Step 3: Cross multiply
    378,505x = 809,498 × 809,498
  4. Step 4: Simplify right side
    378,505x = 655,287,012,004
  5. Step 5: Solve for x
    x = 655,287,012,004/378,505
  6. Step 6: Final answer
    x = 1,731,250.61

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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.