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Finding the Third Proportional to 394,524 and 862,855

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Solution

The third proportional to 394,524 and 862,855 is: 1,887,131.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,524 : 862,855 = 862,855 : x
  2. Step 2: Convert to fraction form
    394,524/862,855 = 862,855/x
  3. Step 3: Cross multiply
    394,524x = 862,855 × 862,855
  4. Step 4: Simplify right side
    394,524x = 744,518,751,025
  5. Step 5: Solve for x
    x = 744,518,751,025/394,524
  6. Step 6: Final answer
    x = 1,887,131.71

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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.