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Finding the Third Proportional to 103.97 and 113.44

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Solution

The third proportional to 103.97 and 113.44 is: 123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.97 : 113.44 = 113.44 : x
  2. Step 2: Convert to fraction form
    103.97/113.44 = 113.44/x
  3. Step 3: Cross multiply
    103.97x = 113.44 × 113.44
  4. Step 4: Simplify right side
    103.97x = 12,868.07
  5. Step 5: Solve for x
    x = 12,868.07/103.97
  6. Step 6: Final answer
    x = 123.77

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.