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Finding the Third Proportional to 33,960.38 and 74,643.75

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Solution

The third proportional to 33,960.38 and 74,643.75 is: 164,064.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,960.38 : 74,643.75 = 74,643.75 : x
  2. Step 2: Convert to fraction form
    33,960.38/74,643.75 = 74,643.75/x
  3. Step 3: Cross multiply
    33,960.38x = 74,643.75 × 74,643.75
  4. Step 4: Simplify right side
    33,960.38x = 5,571,689,414.06
  5. Step 5: Solve for x
    x = 5,571,689,414.06/33,960.38
  6. Step 6: Final answer
    x = 164,064.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.