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Finding the Third Proportional to 33,302 and 70,843

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Solution

The third proportional to 33,302 and 70,843 is: 150,703.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,302 : 70,843 = 70,843 : x
  2. Step 2: Convert to fraction form
    33,302/70,843 = 70,843/x
  3. Step 3: Cross multiply
    33,302x = 70,843 × 70,843
  4. Step 4: Simplify right side
    33,302x = 5,018,730,649
  5. Step 5: Solve for x
    x = 5,018,730,649/33,302
  6. Step 6: Final answer
    x = 150,703.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.