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Finding the Third Proportional to 523,190 and 809,949

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Solution

The third proportional to 523,190 and 809,949 is: 1,253,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,190 : 809,949 = 809,949 : x
  2. Step 2: Convert to fraction form
    523,190/809,949 = 809,949/x
  3. Step 3: Cross multiply
    523,190x = 809,949 × 809,949
  4. Step 4: Simplify right side
    523,190x = 656,017,382,601
  5. Step 5: Solve for x
    x = 656,017,382,601/523,190
  6. Step 6: Final answer
    x = 1,253,879.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.