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Finding the Third Proportional to 394,424 and 863,478

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Solution

The third proportional to 394,424 and 863,478 is: 1,890,336.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,424 : 863,478 = 863,478 : x
  2. Step 2: Convert to fraction form
    394,424/863,478 = 863,478/x
  3. Step 3: Cross multiply
    394,424x = 863,478 × 863,478
  4. Step 4: Simplify right side
    394,424x = 745,594,256,484
  5. Step 5: Solve for x
    x = 745,594,256,484/394,424
  6. Step 6: Final answer
    x = 1,890,336.94

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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.