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Finding the Third Proportional to 181,807 and 396,661

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Solution

The third proportional to 181,807 and 396,661 is: 865,422.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,807 : 396,661 = 396,661 : x
  2. Step 2: Convert to fraction form
    181,807/396,661 = 396,661/x
  3. Step 3: Cross multiply
    181,807x = 396,661 × 396,661
  4. Step 4: Simplify right side
    181,807x = 157,339,948,921
  5. Step 5: Solve for x
    x = 157,339,948,921/181,807
  6. Step 6: Final answer
    x = 865,422.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.