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Finding the Third Proportional to 116,198 and 178,833

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Solution

The third proportional to 116,198 and 178,833 is: 275,230.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,198 : 178,833 = 178,833 : x
  2. Step 2: Convert to fraction form
    116,198/178,833 = 178,833/x
  3. Step 3: Cross multiply
    116,198x = 178,833 × 178,833
  4. Step 4: Simplify right side
    116,198x = 31,981,241,889
  5. Step 5: Solve for x
    x = 31,981,241,889/116,198
  6. Step 6: Final answer
    x = 275,230.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.