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Finding the Third Proportional to 394,611 and 869,655

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Solution

The third proportional to 394,611 and 869,655 is: 1,916,570.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,611 : 869,655 = 869,655 : x
  2. Step 2: Convert to fraction form
    394,611/869,655 = 869,655/x
  3. Step 3: Cross multiply
    394,611x = 869,655 × 869,655
  4. Step 4: Simplify right side
    394,611x = 756,299,819,025
  5. Step 5: Solve for x
    x = 756,299,819,025/394,611
  6. Step 6: Final answer
    x = 1,916,570.54

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Why These Related Problems?

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