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Finding the Third Proportional to 142,917 and 196,149

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Solution

The third proportional to 142,917 and 196,149 is: 269,208.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,917 : 196,149 = 196,149 : x
  2. Step 2: Convert to fraction form
    142,917/196,149 = 196,149/x
  3. Step 3: Cross multiply
    142,917x = 196,149 × 196,149
  4. Step 4: Simplify right side
    142,917x = 38,474,430,201
  5. Step 5: Solve for x
    x = 38,474,430,201/142,917
  6. Step 6: Final answer
    x = 269,208.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.