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Finding the Third Proportional to 30,747.09 and 66,212.44

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Solution

The third proportional to 30,747.09 and 66,212.44 is: 142,585.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,747.09 : 66,212.44 = 66,212.44 : x
  2. Step 2: Convert to fraction form
    30,747.09/66,212.44 = 66,212.44/x
  3. Step 3: Cross multiply
    30,747.09x = 66,212.44 × 66,212.44
  4. Step 4: Simplify right side
    30,747.09x = 4,384,086,879.69
  5. Step 5: Solve for x
    x = 4,384,086,879.69/30,747.09
  6. Step 6: Final answer
    x = 142,585.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.