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Finding the Third Proportional to 98.72 and 204.19

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Solution

The third proportional to 98.72 and 204.19 is: 422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.72 : 204.19 = 204.19 : x
  2. Step 2: Convert to fraction form
    98.72/204.19 = 204.19/x
  3. Step 3: Cross multiply
    98.72x = 204.19 × 204.19
  4. Step 4: Simplify right side
    98.72x = 41,692.54
  5. Step 5: Solve for x
    x = 41,692.54/98.72
  6. Step 6: Final answer
    x = 422.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.