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Finding the Third Proportional to 203,876 and 311,672

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Solution

The third proportional to 203,876 and 311,672 is: 476,463.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,876 : 311,672 = 311,672 : x
  2. Step 2: Convert to fraction form
    203,876/311,672 = 311,672/x
  3. Step 3: Cross multiply
    203,876x = 311,672 × 311,672
  4. Step 4: Simplify right side
    203,876x = 97,139,435,584
  5. Step 5: Solve for x
    x = 97,139,435,584/203,876
  6. Step 6: Final answer
    x = 476,463.32

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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.