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Finding the Third Proportional to 82.84 and 177.94

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Solution

The third proportional to 82.84 and 177.94 is: 382.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.84 : 177.94 = 177.94 : x
  2. Step 2: Convert to fraction form
    82.84/177.94 = 177.94/x
  3. Step 3: Cross multiply
    82.84x = 177.94 × 177.94
  4. Step 4: Simplify right side
    82.84x = 31,661.75
  5. Step 5: Solve for x
    x = 31,661.75/82.84
  6. Step 6: Final answer
    x = 382.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.