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Finding the Third Proportional to 126.19 and 189.09

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Solution

The third proportional to 126.19 and 189.09 is: 283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.19 : 189.09 = 189.09 : x
  2. Step 2: Convert to fraction form
    126.19/189.09 = 189.09/x
  3. Step 3: Cross multiply
    126.19x = 189.09 × 189.09
  4. Step 4: Simplify right side
    126.19x = 35,756.45
  5. Step 5: Solve for x
    x = 35,756.45/126.19
  6. Step 6: Final answer
    x = 283.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.