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Finding the Third Proportional to 33,324 and 71,832

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Solution

The third proportional to 33,324 and 71,832 is: 154,838.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,324 : 71,832 = 71,832 : x
  2. Step 2: Convert to fraction form
    33,324/71,832 = 71,832/x
  3. Step 3: Cross multiply
    33,324x = 71,832 × 71,832
  4. Step 4: Simplify right side
    33,324x = 5,159,836,224
  5. Step 5: Solve for x
    x = 5,159,836,224/33,324
  6. Step 6: Final answer
    x = 154,838.44

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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.