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Finding the Third Proportional to 38.63 and 82.81

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Solution

The third proportional to 38.63 and 82.81 is: 177.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.63 : 82.81 = 82.81 : x
  2. Step 2: Convert to fraction form
    38.63/82.81 = 82.81/x
  3. Step 3: Cross multiply
    38.63x = 82.81 × 82.81
  4. Step 4: Simplify right side
    38.63x = 6,857.91
  5. Step 5: Solve for x
    x = 6,857.91/38.63
  6. Step 6: Final answer
    x = 177.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.