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Finding the Third Proportional to 109.06 and 128.19

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Solution

The third proportional to 109.06 and 128.19 is: 150.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.06 : 128.19 = 128.19 : x
  2. Step 2: Convert to fraction form
    109.06/128.19 = 128.19/x
  3. Step 3: Cross multiply
    109.06x = 128.19 × 128.19
  4. Step 4: Simplify right side
    109.06x = 16,432.04
  5. Step 5: Solve for x
    x = 16,432.04/109.06
  6. Step 6: Final answer
    x = 150.67

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.