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Finding the Third Proportional to 84.94 and 123

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Solution

The third proportional to 84.94 and 123 is: 178.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.94 : 123 = 123 : x
  2. Step 2: Convert to fraction form
    84.94/123 = 123/x
  3. Step 3: Cross multiply
    84.94x = 123 × 123
  4. Step 4: Simplify right side
    84.94x = 15,129
  5. Step 5: Solve for x
    x = 15,129/84.94
  6. Step 6: Final answer
    x = 178.12

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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.