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Finding the Third Proportional to 140,218 and 203,926

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Solution

The third proportional to 140,218 and 203,926 is: 296,579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,218 : 203,926 = 203,926 : x
  2. Step 2: Convert to fraction form
    140,218/203,926 = 203,926/x
  3. Step 3: Cross multiply
    140,218x = 203,926 × 203,926
  4. Step 4: Simplify right side
    140,218x = 41,585,813,476
  5. Step 5: Solve for x
    x = 41,585,813,476/140,218
  6. Step 6: Final answer
    x = 296,579.71

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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.