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Finding the Third Proportional to 76.97 and 123.09

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Solution

The third proportional to 76.97 and 123.09 is: 196.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.97 : 123.09 = 123.09 : x
  2. Step 2: Convert to fraction form
    76.97/123.09 = 123.09/x
  3. Step 3: Cross multiply
    76.97x = 123.09 × 123.09
  4. Step 4: Simplify right side
    76.97x = 15,152.07
  5. Step 5: Solve for x
    x = 15,152.07/76.97
  6. Step 6: Final answer
    x = 196.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.