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Finding the Third Proportional to 133,870 and 196,333

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Solution

The third proportional to 133,870 and 196,333 is: 287,940.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,870 : 196,333 = 196,333 : x
  2. Step 2: Convert to fraction form
    133,870/196,333 = 196,333/x
  3. Step 3: Cross multiply
    133,870x = 196,333 × 196,333
  4. Step 4: Simplify right side
    133,870x = 38,546,646,889
  5. Step 5: Solve for x
    x = 38,546,646,889/133,870
  6. Step 6: Final answer
    x = 287,940.89

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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.