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Finding the Third Proportional to 104.75 and 113.13

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Solution

The third proportional to 104.75 and 113.13 is: 122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.75 : 113.13 = 113.13 : x
  2. Step 2: Convert to fraction form
    104.75/113.13 = 113.13/x
  3. Step 3: Cross multiply
    104.75x = 113.13 × 113.13
  4. Step 4: Simplify right side
    104.75x = 12,797.27
  5. Step 5: Solve for x
    x = 12,797.27/104.75
  6. Step 6: Final answer
    x = 122.17

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.