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Finding the Third Proportional to 128.44 and 189.28

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Solution

The third proportional to 128.44 and 189.28 is: 278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.44 : 189.28 = 189.28 : x
  2. Step 2: Convert to fraction form
    128.44/189.28 = 189.28/x
  3. Step 3: Cross multiply
    128.44x = 189.28 × 189.28
  4. Step 4: Simplify right side
    128.44x = 35,827.39
  5. Step 5: Solve for x
    x = 35,827.39/128.44
  6. Step 6: Final answer
    x = 278.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.