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Finding the Third Proportional to 121,367 and 193,904

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Solution

The third proportional to 121,367 and 193,904 is: 309,793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,367 : 193,904 = 193,904 : x
  2. Step 2: Convert to fraction form
    121,367/193,904 = 193,904/x
  3. Step 3: Cross multiply
    121,367x = 193,904 × 193,904
  4. Step 4: Simplify right side
    121,367x = 37,598,761,216
  5. Step 5: Solve for x
    x = 37,598,761,216/121,367
  6. Step 6: Final answer
    x = 309,793.94

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.