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Finding the Third Proportional to 133,843 and 196,296

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Solution

The third proportional to 133,843 and 196,296 is: 287,890.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,843 : 196,296 = 196,296 : x
  2. Step 2: Convert to fraction form
    133,843/196,296 = 196,296/x
  3. Step 3: Cross multiply
    133,843x = 196,296 × 196,296
  4. Step 4: Simplify right side
    133,843x = 38,532,119,616
  5. Step 5: Solve for x
    x = 38,532,119,616/133,843
  6. Step 6: Final answer
    x = 287,890.44

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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.