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Finding the Third Proportional to 33,342 and 71,286

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Solution

The third proportional to 33,342 and 71,286 is: 152,411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,342 : 71,286 = 71,286 : x
  2. Step 2: Convert to fraction form
    33,342/71,286 = 71,286/x
  3. Step 3: Cross multiply
    33,342x = 71,286 × 71,286
  4. Step 4: Simplify right side
    33,342x = 5,081,693,796
  5. Step 5: Solve for x
    x = 5,081,693,796/33,342
  6. Step 6: Final answer
    x = 152,411.19

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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.