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Finding the Third Proportional to 394,798 and 868,328

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Solution

The third proportional to 394,798 and 868,328 is: 1,909,821.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,798 : 868,328 = 868,328 : x
  2. Step 2: Convert to fraction form
    394,798/868,328 = 868,328/x
  3. Step 3: Cross multiply
    394,798x = 868,328 × 868,328
  4. Step 4: Simplify right side
    394,798x = 753,993,515,584
  5. Step 5: Solve for x
    x = 753,993,515,584/394,798
  6. Step 6: Final answer
    x = 1,909,821.01

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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.