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Finding the Third Proportional to 133,857 and 196,317

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Solution

The third proportional to 133,857 and 196,317 is: 287,921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,857 : 196,317 = 196,317 : x
  2. Step 2: Convert to fraction form
    133,857/196,317 = 196,317/x
  3. Step 3: Cross multiply
    133,857x = 196,317 × 196,317
  4. Step 4: Simplify right side
    133,857x = 38,540,364,489
  5. Step 5: Solve for x
    x = 38,540,364,489/133,857
  6. Step 6: Final answer
    x = 287,921.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.