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Finding the Third Proportional to 81.88 and 186.69

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Solution

The third proportional to 81.88 and 186.69 is: 425.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.88 : 186.69 = 186.69 : x
  2. Step 2: Convert to fraction form
    81.88/186.69 = 186.69/x
  3. Step 3: Cross multiply
    81.88x = 186.69 × 186.69
  4. Step 4: Simplify right side
    81.88x = 34,852.22
  5. Step 5: Solve for x
    x = 34,852.22/81.88
  6. Step 6: Final answer
    x = 425.68

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.