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Finding the Third Proportional to 394,718 and 868,168

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Solution

The third proportional to 394,718 and 868,168 is: 1,909,504.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,718 : 868,168 = 868,168 : x
  2. Step 2: Convert to fraction form
    394,718/868,168 = 868,168/x
  3. Step 3: Cross multiply
    394,718x = 868,168 × 868,168
  4. Step 4: Simplify right side
    394,718x = 753,715,676,224
  5. Step 5: Solve for x
    x = 753,715,676,224/394,718
  6. Step 6: Final answer
    x = 1,909,504.19

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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.