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Finding the Third Proportional to 181,816 and 396,679

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Solution

The third proportional to 181,816 and 396,679 is: 865,458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,816 : 396,679 = 396,679 : x
  2. Step 2: Convert to fraction form
    181,816/396,679 = 396,679/x
  3. Step 3: Cross multiply
    181,816x = 396,679 × 396,679
  4. Step 4: Simplify right side
    181,816x = 157,354,229,041
  5. Step 5: Solve for x
    x = 157,354,229,041/181,816
  6. Step 6: Final answer
    x = 865,458.65

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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.