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Finding the Third Proportional to 115,198 and 178,790

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Solution

The third proportional to 115,198 and 178,790 is: 277,486.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,198 : 178,790 = 178,790 : x
  2. Step 2: Convert to fraction form
    115,198/178,790 = 178,790/x
  3. Step 3: Cross multiply
    115,198x = 178,790 × 178,790
  4. Step 4: Simplify right side
    115,198x = 31,965,864,100
  5. Step 5: Solve for x
    x = 31,965,864,100/115,198
  6. Step 6: Final answer
    x = 277,486.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.