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Finding the Third Proportional to 394,728 and 868,187

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Solution

The third proportional to 394,728 and 868,187 is: 1,909,539.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,728 : 868,187 = 868,187 : x
  2. Step 2: Convert to fraction form
    394,728/868,187 = 868,187/x
  3. Step 3: Cross multiply
    394,728x = 868,187 × 868,187
  4. Step 4: Simplify right side
    394,728x = 753,748,666,969
  5. Step 5: Solve for x
    x = 753,748,666,969/394,728
  6. Step 6: Final answer
    x = 1,909,539.40

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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.