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Finding the Third Proportional to 394,488 and 864,063

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Solution

The third proportional to 394,488 and 864,063 is: 1,892,592.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,488 : 864,063 = 864,063 : x
  2. Step 2: Convert to fraction form
    394,488/864,063 = 864,063/x
  3. Step 3: Cross multiply
    394,488x = 864,063 × 864,063
  4. Step 4: Simplify right side
    394,488x = 746,604,867,969
  5. Step 5: Solve for x
    x = 746,604,867,969/394,488
  6. Step 6: Final answer
    x = 1,892,592.09

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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.