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Finding the Third Proportional to 394,100 and 847,330

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Solution

The third proportional to 394,100 and 847,330 is: 1,821,791.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,100 : 847,330 = 847,330 : x
  2. Step 2: Convert to fraction form
    394,100/847,330 = 847,330/x
  3. Step 3: Cross multiply
    394,100x = 847,330 × 847,330
  4. Step 4: Simplify right side
    394,100x = 717,968,128,900
  5. Step 5: Solve for x
    x = 717,968,128,900/394,100
  6. Step 6: Final answer
    x = 1,821,791.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.