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Finding the Third Proportional to 399,790 and 858,866

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Solution

The third proportional to 399,790 and 858,866 is: 1,845,095.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,790 : 858,866 = 858,866 : x
  2. Step 2: Convert to fraction form
    399,790/858,866 = 858,866/x
  3. Step 3: Cross multiply
    399,790x = 858,866 × 858,866
  4. Step 4: Simplify right side
    399,790x = 737,650,805,956
  5. Step 5: Solve for x
    x = 737,650,805,956/399,790
  6. Step 6: Final answer
    x = 1,845,095.69

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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.