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Finding the Third Proportional to 9,105 and 12,102.75

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Solution

The third proportional to 9,105 and 12,102.75 is: 16,087.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105 : 12,102.75 = 12,102.75 : x
  2. Step 2: Convert to fraction form
    9,105/12,102.75 = 12,102.75/x
  3. Step 3: Cross multiply
    9,105x = 12,102.75 × 12,102.75
  4. Step 4: Simplify right side
    9,105x = 146,476,557.56
  5. Step 5: Solve for x
    x = 146,476,557.56/9,105
  6. Step 6: Final answer
    x = 16,087.49

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.