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Finding the Third Proportional to 128.04 and 189.21

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Solution

The third proportional to 128.04 and 189.21 is: 279.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.04 : 189.21 = 189.21 : x
  2. Step 2: Convert to fraction form
    128.04/189.21 = 189.21/x
  3. Step 3: Cross multiply
    128.04x = 189.21 × 189.21
  4. Step 4: Simplify right side
    128.04x = 35,800.78
  5. Step 5: Solve for x
    x = 35,800.78/128.04
  6. Step 6: Final answer
    x = 279.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.