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Finding the Third Proportional to 399,138 and 853,620

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Solution

The third proportional to 399,138 and 853,620 is: 1,825,601.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,138 : 853,620 = 853,620 : x
  2. Step 2: Convert to fraction form
    399,138/853,620 = 853,620/x
  3. Step 3: Cross multiply
    399,138x = 853,620 × 853,620
  4. Step 4: Simplify right side
    399,138x = 728,667,104,400
  5. Step 5: Solve for x
    x = 728,667,104,400/399,138
  6. Step 6: Final answer
    x = 1,825,601.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.