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Finding the Third Proportional to 6,429.38 and 13,722.75

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Solution

The third proportional to 6,429.38 and 13,722.75 is: 29,289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.38 : 13,722.75 = 13,722.75 : x
  2. Step 2: Convert to fraction form
    6,429.38/13,722.75 = 13,722.75/x
  3. Step 3: Cross multiply
    6,429.38x = 13,722.75 × 13,722.75
  4. Step 4: Simplify right side
    6,429.38x = 188,313,867.56
  5. Step 5: Solve for x
    x = 188,313,867.56/6,429.38
  6. Step 6: Final answer
    x = 29,289.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.