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Finding the Third Proportional to 84.73 and 171.14

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Solution

The third proportional to 84.73 and 171.14 is: 345.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.73 : 171.14 = 171.14 : x
  2. Step 2: Convert to fraction form
    84.73/171.14 = 171.14/x
  3. Step 3: Cross multiply
    84.73x = 171.14 × 171.14
  4. Step 4: Simplify right side
    84.73x = 29,289.11
  5. Step 5: Solve for x
    x = 29,289.11/84.73
  6. Step 6: Final answer
    x = 345.69

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.