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Finding the Third Proportional to 9,105 and 20,002.50

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Solution

The third proportional to 9,105 and 20,002.50 is: 43,942.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105 : 20,002.50 = 20,002.50 : x
  2. Step 2: Convert to fraction form
    9,105/20,002.50 = 20,002.50/x
  3. Step 3: Cross multiply
    9,105x = 20,002.50 × 20,002.50
  4. Step 4: Simplify right side
    9,105x = 400,100,006.25
  5. Step 5: Solve for x
    x = 400,100,006.25/9,105
  6. Step 6: Final answer
    x = 43,942.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.