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Finding the Third Proportional to 131,198 and 206,258

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Solution

The third proportional to 131,198 and 206,258 is: 324,260.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,198 : 206,258 = 206,258 : x
  2. Step 2: Convert to fraction form
    131,198/206,258 = 206,258/x
  3. Step 3: Cross multiply
    131,198x = 206,258 × 206,258
  4. Step 4: Simplify right side
    131,198x = 42,542,362,564
  5. Step 5: Solve for x
    x = 42,542,362,564/131,198
  6. Step 6: Final answer
    x = 324,260.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.