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Finding the Third Proportional to 90,972 and 133,857

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Solution

The third proportional to 90,972 and 133,857 is: 196,958.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,972 : 133,857 = 133,857 : x
  2. Step 2: Convert to fraction form
    90,972/133,857 = 133,857/x
  3. Step 3: Cross multiply
    90,972x = 133,857 × 133,857
  4. Step 4: Simplify right side
    90,972x = 17,917,696,449
  5. Step 5: Solve for x
    x = 17,917,696,449/90,972
  6. Step 6: Final answer
    x = 196,958.37

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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.