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Finding the Third Proportional to 398,022 and 840,969

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Solution

The third proportional to 398,022 and 840,969 is: 1,776,858.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,022 : 840,969 = 840,969 : x
  2. Step 2: Convert to fraction form
    398,022/840,969 = 840,969/x
  3. Step 3: Cross multiply
    398,022x = 840,969 × 840,969
  4. Step 4: Simplify right side
    398,022x = 707,228,858,961
  5. Step 5: Solve for x
    x = 707,228,858,961/398,022
  6. Step 6: Final answer
    x = 1,776,858.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.