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Finding the Third Proportional to 394,820 and 866,456

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Solution

The third proportional to 394,820 and 866,456 is: 1,901,489.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,820 : 866,456 = 866,456 : x
  2. Step 2: Convert to fraction form
    394,820/866,456 = 866,456/x
  3. Step 3: Cross multiply
    394,820x = 866,456 × 866,456
  4. Step 4: Simplify right side
    394,820x = 750,745,999,936
  5. Step 5: Solve for x
    x = 750,745,999,936/394,820
  6. Step 6: Final answer
    x = 1,901,489.29

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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.