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Finding the Third Proportional to 84.12 and 182.14

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Solution

The third proportional to 84.12 and 182.14 is: 394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.12 : 182.14 = 182.14 : x
  2. Step 2: Convert to fraction form
    84.12/182.14 = 182.14/x
  3. Step 3: Cross multiply
    84.12x = 182.14 × 182.14
  4. Step 4: Simplify right side
    84.12x = 33,173.74
  5. Step 5: Solve for x
    x = 33,173.74/84.12
  6. Step 6: Final answer
    x = 394.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.