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Finding the Third Proportional to 399,800 and 858,884

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Solution

The third proportional to 399,800 and 858,884 is: 1,845,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,800 : 858,884 = 858,884 : x
  2. Step 2: Convert to fraction form
    399,800/858,884 = 858,884/x
  3. Step 3: Cross multiply
    399,800x = 858,884 × 858,884
  4. Step 4: Simplify right side
    399,800x = 737,681,725,456
  5. Step 5: Solve for x
    x = 737,681,725,456/399,800
  6. Step 6: Final answer
    x = 1,845,126.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.