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Finding the Third Proportional to 399,354 and 868,692

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Solution

The third proportional to 399,354 and 868,692 is: 1,889,616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,354 : 868,692 = 868,692 : x
  2. Step 2: Convert to fraction form
    399,354/868,692 = 868,692/x
  3. Step 3: Cross multiply
    399,354x = 868,692 × 868,692
  4. Step 4: Simplify right side
    399,354x = 754,625,790,864
  5. Step 5: Solve for x
    x = 754,625,790,864/399,354
  6. Step 6: Final answer
    x = 1,889,616.21

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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.