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Finding the Third Proportional to 399,355 and 868,678

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Solution

The third proportional to 399,355 and 868,678 is: 1,889,550.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,355 : 868,678 = 868,678 : x
  2. Step 2: Convert to fraction form
    399,355/868,678 = 868,678/x
  3. Step 3: Cross multiply
    399,355x = 868,678 × 868,678
  4. Step 4: Simplify right side
    399,355x = 754,601,467,684
  5. Step 5: Solve for x
    x = 754,601,467,684/399,355
  6. Step 6: Final answer
    x = 1,889,550.57

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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.