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Finding the Third Proportional to 81.63 and 187.95

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Solution

The third proportional to 81.63 and 187.95 is: 432.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.63 : 187.95 = 187.95 : x
  2. Step 2: Convert to fraction form
    81.63/187.95 = 187.95/x
  3. Step 3: Cross multiply
    81.63x = 187.95 × 187.95
  4. Step 4: Simplify right side
    81.63x = 35,323.44
  5. Step 5: Solve for x
    x = 35,323.44/81.63
  6. Step 6: Final answer
    x = 432.71

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.