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Finding the Third Proportional to 84.66 and 123.14

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Solution

The third proportional to 84.66 and 123.14 is: 179.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.66 : 123.14 = 123.14 : x
  2. Step 2: Convert to fraction form
    84.66/123.14 = 123.14/x
  3. Step 3: Cross multiply
    84.66x = 123.14 × 123.14
  4. Step 4: Simplify right side
    84.66x = 15,163.61
  5. Step 5: Solve for x
    x = 15,163.61/84.66
  6. Step 6: Final answer
    x = 179.12

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.