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Finding the Third Proportional to 394,484 and 640,907

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Solution

The third proportional to 394,484 and 640,907 is: 1,041,263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,484 : 640,907 = 640,907 : x
  2. Step 2: Convert to fraction form
    394,484/640,907 = 640,907/x
  3. Step 3: Cross multiply
    394,484x = 640,907 × 640,907
  4. Step 4: Simplify right side
    394,484x = 410,761,782,649
  5. Step 5: Solve for x
    x = 410,761,782,649/394,484
  6. Step 6: Final answer
    x = 1,041,263.48

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.