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Finding the Third Proportional to 181,758 and 397,212

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Solution

The third proportional to 181,758 and 397,212 is: 868,062.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,758 : 397,212 = 397,212 : x
  2. Step 2: Convert to fraction form
    181,758/397,212 = 397,212/x
  3. Step 3: Cross multiply
    181,758x = 397,212 × 397,212
  4. Step 4: Simplify right side
    181,758x = 157,777,372,944
  5. Step 5: Solve for x
    x = 157,777,372,944/181,758
  6. Step 6: Final answer
    x = 868,062.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.