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Finding the Third Proportional to 129,857 and 194,268

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Solution

The third proportional to 129,857 and 194,268 is: 290,627.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,857 : 194,268 = 194,268 : x
  2. Step 2: Convert to fraction form
    129,857/194,268 = 194,268/x
  3. Step 3: Cross multiply
    129,857x = 194,268 × 194,268
  4. Step 4: Simplify right side
    129,857x = 37,740,055,824
  5. Step 5: Solve for x
    x = 37,740,055,824/129,857
  6. Step 6: Final answer
    x = 290,627.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.