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Finding the Third Proportional to 378,571 and 809,671

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Solution

The third proportional to 378,571 and 809,671 is: 1,731,688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,571 : 809,671 = 809,671 : x
  2. Step 2: Convert to fraction form
    378,571/809,671 = 809,671/x
  3. Step 3: Cross multiply
    378,571x = 809,671 × 809,671
  4. Step 4: Simplify right side
    378,571x = 655,567,128,241
  5. Step 5: Solve for x
    x = 655,567,128,241/378,571
  6. Step 6: Final answer
    x = 1,731,688.71

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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.