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Finding the Third Proportional to 81.28 and 189.70

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Solution

The third proportional to 81.28 and 189.70 is: 442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.28 : 189.70 = 189.70 : x
  2. Step 2: Convert to fraction form
    81.28/189.70 = 189.70/x
  3. Step 3: Cross multiply
    81.28x = 189.70 × 189.70
  4. Step 4: Simplify right side
    81.28x = 35,987.28
  5. Step 5: Solve for x
    x = 35,987.28/81.28
  6. Step 6: Final answer
    x = 442.75

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.