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Finding the Third Proportional to 133,866 and 196,327

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Solution

The third proportional to 133,866 and 196,327 is: 287,931.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,866 : 196,327 = 196,327 : x
  2. Step 2: Convert to fraction form
    133,866/196,327 = 196,327/x
  3. Step 3: Cross multiply
    133,866x = 196,327 × 196,327
  4. Step 4: Simplify right side
    133,866x = 38,544,290,929
  5. Step 5: Solve for x
    x = 38,544,290,929/133,866
  6. Step 6: Final answer
    x = 287,931.89

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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.