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Finding the Third Proportional to 33,625.13 and 66,111.19

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Solution

The third proportional to 33,625.13 and 66,111.19 is: 129,982.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,625.13 : 66,111.19 = 66,111.19 : x
  2. Step 2: Convert to fraction form
    33,625.13/66,111.19 = 66,111.19/x
  3. Step 3: Cross multiply
    33,625.13x = 66,111.19 × 66,111.19
  4. Step 4: Simplify right side
    33,625.13x = 4,370,689,112.66
  5. Step 5: Solve for x
    x = 4,370,689,112.66/33,625.13
  6. Step 6: Final answer
    x = 129,982.84

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.