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Finding the Third Proportional to 203,869 and 311,127

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Solution

The third proportional to 203,869 and 311,127 is: 474,814.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,869 : 311,127 = 311,127 : x
  2. Step 2: Convert to fraction form
    203,869/311,127 = 311,127/x
  3. Step 3: Cross multiply
    203,869x = 311,127 × 311,127
  4. Step 4: Simplify right side
    203,869x = 96,800,010,129
  5. Step 5: Solve for x
    x = 96,800,010,129/203,869
  6. Step 6: Final answer
    x = 474,814.76

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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.