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Finding the Third Proportional to 33,752.25 and 81,339.75

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Solution

The third proportional to 33,752.25 and 81,339.75 is: 196,021.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,752.25 : 81,339.75 = 81,339.75 : x
  2. Step 2: Convert to fraction form
    33,752.25/81,339.75 = 81,339.75/x
  3. Step 3: Cross multiply
    33,752.25x = 81,339.75 × 81,339.75
  4. Step 4: Simplify right side
    33,752.25x = 6,616,154,930.06
  5. Step 5: Solve for x
    x = 6,616,154,930.06/33,752.25
  6. Step 6: Final answer
    x = 196,021.15

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.