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Finding the Third Proportional to 181,882 and 396,802

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Solution

The third proportional to 181,882 and 396,802 is: 865,681.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,882 : 396,802 = 396,802 : x
  2. Step 2: Convert to fraction form
    181,882/396,802 = 396,802/x
  3. Step 3: Cross multiply
    181,882x = 396,802 × 396,802
  4. Step 4: Simplify right side
    181,882x = 157,451,827,204
  5. Step 5: Solve for x
    x = 157,451,827,204/181,882
  6. Step 6: Final answer
    x = 865,681.20

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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.