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Finding the Third Proportional to 181,990.69 and 395,418.38

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Solution

The third proportional to 181,990.69 and 395,418.38 is: 859,141.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,990.69 : 395,418.38 = 395,418.38 : x
  2. Step 2: Convert to fraction form
    181,990.69/395,418.38 = 395,418.38/x
  3. Step 3: Cross multiply
    181,990.69x = 395,418.38 × 395,418.38
  4. Step 4: Simplify right side
    181,990.69x = 156,355,691,287.64
  5. Step 5: Solve for x
    x = 156,355,691,287.64/181,990.69
  6. Step 6: Final answer
    x = 859,141.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.