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Finding the Third Proportional to 81.63 and 177.82

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Solution

The third proportional to 81.63 and 177.82 is: 387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.63 : 177.82 = 177.82 : x
  2. Step 2: Convert to fraction form
    81.63/177.82 = 177.82/x
  3. Step 3: Cross multiply
    81.63x = 177.82 × 177.82
  4. Step 4: Simplify right side
    81.63x = 31,620.06
  5. Step 5: Solve for x
    x = 31,620.06/81.63
  6. Step 6: Final answer
    x = 387.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.