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Finding the Third Proportional to 38.11 and 80.02

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Solution

The third proportional to 38.11 and 80.02 is: 168.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.11 : 80.02 = 80.02 : x
  2. Step 2: Convert to fraction form
    38.11/80.02 = 80.02/x
  3. Step 3: Cross multiply
    38.11x = 80.02 × 80.02
  4. Step 4: Simplify right side
    38.11x = 6,402.50
  5. Step 5: Solve for x
    x = 6,402.50/38.11
  6. Step 6: Final answer
    x = 168.00

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.