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Finding the Third Proportional to 33,144.75 and 71,583.75

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Solution

The third proportional to 33,144.75 and 71,583.75 is: 154,601.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,144.75 : 71,583.75 = 71,583.75 : x
  2. Step 2: Convert to fraction form
    33,144.75/71,583.75 = 71,583.75/x
  3. Step 3: Cross multiply
    33,144.75x = 71,583.75 × 71,583.75
  4. Step 4: Simplify right side
    33,144.75x = 5,124,233,264.06
  5. Step 5: Solve for x
    x = 5,124,233,264.06/33,144.75
  6. Step 6: Final answer
    x = 154,601.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.