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Finding the Third Proportional to 399,663 and 858,620

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Solution

The third proportional to 399,663 and 858,620 is: 1,844,624.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,663 : 858,620 = 858,620 : x
  2. Step 2: Convert to fraction form
    399,663/858,620 = 858,620/x
  3. Step 3: Cross multiply
    399,663x = 858,620 × 858,620
  4. Step 4: Simplify right side
    399,663x = 737,228,304,400
  5. Step 5: Solve for x
    x = 737,228,304,400/399,663
  6. Step 6: Final answer
    x = 1,844,624.86

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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.