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Finding the Third Proportional to 3,789.75 and 8,849.06

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Solution

The third proportional to 3,789.75 and 8,849.06 is: 20,662.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.75 : 8,849.06 = 8,849.06 : x
  2. Step 2: Convert to fraction form
    3,789.75/8,849.06 = 8,849.06/x
  3. Step 3: Cross multiply
    3,789.75x = 8,849.06 × 8,849.06
  4. Step 4: Simplify right side
    3,789.75x = 78,305,907.13
  5. Step 5: Solve for x
    x = 78,305,907.13/3,789.75
  6. Step 6: Final answer
    x = 20,662.55

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.