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Finding the Third Proportional to 15,857 and 33,649

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Solution

The third proportional to 15,857 and 33,649 is: 71,404.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857 : 33,649 = 33,649 : x
  2. Step 2: Convert to fraction form
    15,857/33,649 = 33,649/x
  3. Step 3: Cross multiply
    15,857x = 33,649 × 33,649
  4. Step 4: Simplify right side
    15,857x = 1,132,255,201
  5. Step 5: Solve for x
    x = 1,132,255,201/15,857
  6. Step 6: Final answer
    x = 71,404.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.