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Finding the Third Proportional to 394,824 and 868,364

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Solution

The third proportional to 394,824 and 868,364 is: 1,909,853.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,824 : 868,364 = 868,364 : x
  2. Step 2: Convert to fraction form
    394,824/868,364 = 868,364/x
  3. Step 3: Cross multiply
    394,824x = 868,364 × 868,364
  4. Step 4: Simplify right side
    394,824x = 754,056,036,496
  5. Step 5: Solve for x
    x = 754,056,036,496/394,824
  6. Step 6: Final answer
    x = 1,909,853.60

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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.