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Finding the Third Proportional to 203,474 and 311,259

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Solution

The third proportional to 203,474 and 311,259 is: 476,140.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,474 : 311,259 = 311,259 : x
  2. Step 2: Convert to fraction form
    203,474/311,259 = 311,259/x
  3. Step 3: Cross multiply
    203,474x = 311,259 × 311,259
  4. Step 4: Simplify right side
    203,474x = 96,882,165,081
  5. Step 5: Solve for x
    x = 96,882,165,081/203,474
  6. Step 6: Final answer
    x = 476,140.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.