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Finding the Third Proportional to 81.19 and 189.47

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Solution

The third proportional to 81.19 and 189.47 is: 442.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.19 : 189.47 = 189.47 : x
  2. Step 2: Convert to fraction form
    81.19/189.47 = 189.47/x
  3. Step 3: Cross multiply
    81.19x = 189.47 × 189.47
  4. Step 4: Simplify right side
    81.19x = 35,898.41
  5. Step 5: Solve for x
    x = 35,898.41/81.19
  6. Step 6: Final answer
    x = 442.17

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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.