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Finding the Third Proportional to 101.11 and 189.49

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Solution

The third proportional to 101.11 and 189.49 is: 355.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.11 : 189.49 = 189.49 : x
  2. Step 2: Convert to fraction form
    101.11/189.49 = 189.49/x
  3. Step 3: Cross multiply
    101.11x = 189.49 × 189.49
  4. Step 4: Simplify right side
    101.11x = 35,907.29
  5. Step 5: Solve for x
    x = 35,907.29/101.11
  6. Step 6: Final answer
    x = 355.13

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.