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Finding the Third Proportional to 181,558 and 279,994

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Solution

The third proportional to 181,558 and 279,994 is: 431,799.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,558 : 279,994 = 279,994 : x
  2. Step 2: Convert to fraction form
    181,558/279,994 = 279,994/x
  3. Step 3: Cross multiply
    181,558x = 279,994 × 279,994
  4. Step 4: Simplify right side
    181,558x = 78,396,640,036
  5. Step 5: Solve for x
    x = 78,396,640,036/181,558
  6. Step 6: Final answer
    x = 431,799.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.