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Finding the Third Proportional to 33,293 and 71,481

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Solution

The third proportional to 33,293 and 71,481 is: 153,471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,293 : 71,481 = 71,481 : x
  2. Step 2: Convert to fraction form
    33,293/71,481 = 71,481/x
  3. Step 3: Cross multiply
    33,293x = 71,481 × 71,481
  4. Step 4: Simplify right side
    33,293x = 5,109,533,361
  5. Step 5: Solve for x
    x = 5,109,533,361/33,293
  6. Step 6: Final answer
    x = 153,471.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.