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Finding the Third Proportional to 139.92 and 189.14

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Solution

The third proportional to 139.92 and 189.14 is: 255.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.92 : 189.14 = 189.14 : x
  2. Step 2: Convert to fraction form
    139.92/189.14 = 189.14/x
  3. Step 3: Cross multiply
    139.92x = 189.14 × 189.14
  4. Step 4: Simplify right side
    139.92x = 35,774.18
  5. Step 5: Solve for x
    x = 35,774.18/139.92
  6. Step 6: Final answer
    x = 255.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.