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Finding the Third Proportional to 133,191 and 203,751

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Solution

The third proportional to 133,191 and 203,751 is: 311,691.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,191 : 203,751 = 203,751 : x
  2. Step 2: Convert to fraction form
    133,191/203,751 = 203,751/x
  3. Step 3: Cross multiply
    133,191x = 203,751 × 203,751
  4. Step 4: Simplify right side
    133,191x = 41,514,470,001
  5. Step 5: Solve for x
    x = 41,514,470,001/133,191
  6. Step 6: Final answer
    x = 311,691.26

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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.