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Finding the Third Proportional to 121,734 and 193,161

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Solution

The third proportional to 121,734 and 193,161 is: 306,497.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,734 : 193,161 = 193,161 : x
  2. Step 2: Convert to fraction form
    121,734/193,161 = 193,161/x
  3. Step 3: Cross multiply
    121,734x = 193,161 × 193,161
  4. Step 4: Simplify right side
    121,734x = 37,311,171,921
  5. Step 5: Solve for x
    x = 37,311,171,921/121,734
  6. Step 6: Final answer
    x = 306,497.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.