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Finding the Third Proportional to 129,838 and 196,161

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Solution

The third proportional to 129,838 and 196,161 is: 296,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,838 : 196,161 = 196,161 : x
  2. Step 2: Convert to fraction form
    129,838/196,161 = 196,161/x
  3. Step 3: Cross multiply
    129,838x = 196,161 × 196,161
  4. Step 4: Simplify right side
    129,838x = 38,479,137,921
  5. Step 5: Solve for x
    x = 38,479,137,921/129,838
  6. Step 6: Final answer
    x = 296,362.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.