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Finding the Third Proportional to 80.26 and 189.21

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Solution

The third proportional to 80.26 and 189.21 is: 446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.26 : 189.21 = 189.21 : x
  2. Step 2: Convert to fraction form
    80.26/189.21 = 189.21/x
  3. Step 3: Cross multiply
    80.26x = 189.21 × 189.21
  4. Step 4: Simplify right side
    80.26x = 35,800.78
  5. Step 5: Solve for x
    x = 35,800.78/80.26
  6. Step 6: Final answer
    x = 446.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.