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Finding the Third Proportional to 394,998 and 770,286

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Solution

The third proportional to 394,998 and 770,286 is: 1,502,135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,998 : 770,286 = 770,286 : x
  2. Step 2: Convert to fraction form
    394,998/770,286 = 770,286/x
  3. Step 3: Cross multiply
    394,998x = 770,286 × 770,286
  4. Step 4: Simplify right side
    394,998x = 593,340,521,796
  5. Step 5: Solve for x
    x = 593,340,521,796/394,998
  6. Step 6: Final answer
    x = 1,502,135.51

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.