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Finding the Third Proportional to 203,558 and 311,381

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Solution

The third proportional to 203,558 and 311,381 is: 476,316.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,558 : 311,381 = 311,381 : x
  2. Step 2: Convert to fraction form
    203,558/311,381 = 311,381/x
  3. Step 3: Cross multiply
    203,558x = 311,381 × 311,381
  4. Step 4: Simplify right side
    203,558x = 96,958,127,161
  5. Step 5: Solve for x
    x = 96,958,127,161/203,558
  6. Step 6: Final answer
    x = 476,316.96

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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.