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Finding the Third Proportional to 155,978 and 251,193

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Solution

The third proportional to 155,978 and 251,193 is: 404,530.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,978 : 251,193 = 251,193 : x
  2. Step 2: Convert to fraction form
    155,978/251,193 = 251,193/x
  3. Step 3: Cross multiply
    155,978x = 251,193 × 251,193
  4. Step 4: Simplify right side
    155,978x = 63,097,923,249
  5. Step 5: Solve for x
    x = 63,097,923,249/155,978
  6. Step 6: Final answer
    x = 404,530.92

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.