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Finding the Third Proportional to 394,694 and 864,504

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Solution

The third proportional to 394,694 and 864,504 is: 1,893,535.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,694 : 864,504 = 864,504 : x
  2. Step 2: Convert to fraction form
    394,694/864,504 = 864,504/x
  3. Step 3: Cross multiply
    394,694x = 864,504 × 864,504
  4. Step 4: Simplify right side
    394,694x = 747,367,166,016
  5. Step 5: Solve for x
    x = 747,367,166,016/394,694
  6. Step 6: Final answer
    x = 1,893,535.67

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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.