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Finding the Third Proportional to 84.84 and 179.28

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Solution

The third proportional to 84.84 and 179.28 is: 378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.84 : 179.28 = 179.28 : x
  2. Step 2: Convert to fraction form
    84.84/179.28 = 179.28/x
  3. Step 3: Cross multiply
    84.84x = 179.28 × 179.28
  4. Step 4: Simplify right side
    84.84x = 32,142.64
  5. Step 5: Solve for x
    x = 32,142.64/84.84
  6. Step 6: Final answer
    x = 378.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.