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Finding the Third Proportional to 394,379 and 863,389

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Solution

The third proportional to 394,379 and 863,389 is: 1,890,162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,379 : 863,389 = 863,389 : x
  2. Step 2: Convert to fraction form
    394,379/863,389 = 863,389/x
  3. Step 3: Cross multiply
    394,379x = 863,389 × 863,389
  4. Step 4: Simplify right side
    394,379x = 745,440,565,321
  5. Step 5: Solve for x
    x = 745,440,565,321/394,379
  6. Step 6: Final answer
    x = 1,890,162.93

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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.