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Finding the Third Proportional to 94.78 and 204.09

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Solution

The third proportional to 94.78 and 204.09 is: 439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.78 : 204.09 = 204.09 : x
  2. Step 2: Convert to fraction form
    94.78/204.09 = 204.09/x
  3. Step 3: Cross multiply
    94.78x = 204.09 × 204.09
  4. Step 4: Simplify right side
    94.78x = 41,654.26
  5. Step 5: Solve for x
    x = 41,654.26/94.78
  6. Step 6: Final answer
    x = 439.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.