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Finding the Third Proportional to 204.75 and 422.63

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Solution

The third proportional to 204.75 and 422.63 is: 872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.75 : 422.63 = 422.63 : x
  2. Step 2: Convert to fraction form
    204.75/422.63 = 422.63/x
  3. Step 3: Cross multiply
    204.75x = 422.63 × 422.63
  4. Step 4: Simplify right side
    204.75x = 178,611.89
  5. Step 5: Solve for x
    x = 178,611.89/204.75
  6. Step 6: Final answer
    x = 872.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.