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Finding the Third Proportional to 33,325 and 71,257

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Solution

The third proportional to 33,325 and 71,257 is: 152,364.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,325 : 71,257 = 71,257 : x
  2. Step 2: Convert to fraction form
    33,325/71,257 = 71,257/x
  3. Step 3: Cross multiply
    33,325x = 71,257 × 71,257
  4. Step 4: Simplify right side
    33,325x = 5,077,560,049
  5. Step 5: Solve for x
    x = 5,077,560,049/33,325
  6. Step 6: Final answer
    x = 152,364.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.