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Finding the Third Proportional to 394,706 and 866,489

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Solution

The third proportional to 394,706 and 866,489 is: 1,902,183.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,706 : 866,489 = 866,489 : x
  2. Step 2: Convert to fraction form
    394,706/866,489 = 866,489/x
  3. Step 3: Cross multiply
    394,706x = 866,489 × 866,489
  4. Step 4: Simplify right side
    394,706x = 750,803,187,121
  5. Step 5: Solve for x
    x = 750,803,187,121/394,706
  6. Step 6: Final answer
    x = 1,902,183.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.