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Finding the Third Proportional to 399,355 and 868,694

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Solution

The third proportional to 399,355 and 868,694 is: 1,889,620.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,355 : 868,694 = 868,694 : x
  2. Step 2: Convert to fraction form
    399,355/868,694 = 868,694/x
  3. Step 3: Cross multiply
    399,355x = 868,694 × 868,694
  4. Step 4: Simplify right side
    399,355x = 754,629,265,636
  5. Step 5: Solve for x
    x = 754,629,265,636/399,355
  6. Step 6: Final answer
    x = 1,889,620.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.