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Finding the Third Proportional to 394,509 and 862,825

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Solution

The third proportional to 394,509 and 862,825 is: 1,887,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,509 : 862,825 = 862,825 : x
  2. Step 2: Convert to fraction form
    394,509/862,825 = 862,825/x
  3. Step 3: Cross multiply
    394,509x = 862,825 × 862,825
  4. Step 4: Simplify right side
    394,509x = 744,466,980,625
  5. Step 5: Solve for x
    x = 744,466,980,625/394,509
  6. Step 6: Final answer
    x = 1,887,072.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.