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Finding the Third Proportional to 140,215 and 203,923

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Solution

The third proportional to 140,215 and 203,923 is: 296,577.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,215 : 203,923 = 203,923 : x
  2. Step 2: Convert to fraction form
    140,215/203,923 = 203,923/x
  3. Step 3: Cross multiply
    140,215x = 203,923 × 203,923
  4. Step 4: Simplify right side
    140,215x = 41,584,589,929
  5. Step 5: Solve for x
    x = 41,584,589,929/140,215
  6. Step 6: Final answer
    x = 296,577.33

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.