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Finding the Third Proportional to 81.63 and 125.88

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Solution

The third proportional to 81.63 and 125.88 is: 194.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.63 : 125.88 = 125.88 : x
  2. Step 2: Convert to fraction form
    81.63/125.88 = 125.88/x
  3. Step 3: Cross multiply
    81.63x = 125.88 × 125.88
  4. Step 4: Simplify right side
    81.63x = 15,844.52
  5. Step 5: Solve for x
    x = 15,844.52/81.63
  6. Step 6: Final answer
    x = 194.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.