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Finding the Third Proportional to 394,090 and 854,036

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Solution

The third proportional to 394,090 and 854,036 is: 1,850,789.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,090 : 854,036 = 854,036 : x
  2. Step 2: Convert to fraction form
    394,090/854,036 = 854,036/x
  3. Step 3: Cross multiply
    394,090x = 854,036 × 854,036
  4. Step 4: Simplify right side
    394,090x = 729,377,489,296
  5. Step 5: Solve for x
    x = 729,377,489,296/394,090
  6. Step 6: Final answer
    x = 1,850,789.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.