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Finding the Third Proportional to 82.27 and 177.29

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Solution

The third proportional to 82.27 and 177.29 is: 382.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.27 : 177.29 = 177.29 : x
  2. Step 2: Convert to fraction form
    82.27/177.29 = 177.29/x
  3. Step 3: Cross multiply
    82.27x = 177.29 × 177.29
  4. Step 4: Simplify right side
    82.27x = 31,432.80
  5. Step 5: Solve for x
    x = 31,432.80/82.27
  6. Step 6: Final answer
    x = 382.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.