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Finding the Third Proportional to 90,909 and 186,327

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Solution

The third proportional to 90,909 and 186,327 is: 381,895.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,909 : 186,327 = 186,327 : x
  2. Step 2: Convert to fraction form
    90,909/186,327 = 186,327/x
  3. Step 3: Cross multiply
    90,909x = 186,327 × 186,327
  4. Step 4: Simplify right side
    90,909x = 34,717,750,929
  5. Step 5: Solve for x
    x = 34,717,750,929/90,909
  6. Step 6: Final answer
    x = 381,895.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.