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Finding the Third Proportional to 33,627 and 53,721

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Solution

The third proportional to 33,627 and 53,721 is: 85,822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,627 : 53,721 = 53,721 : x
  2. Step 2: Convert to fraction form
    33,627/53,721 = 53,721/x
  3. Step 3: Cross multiply
    33,627x = 53,721 × 53,721
  4. Step 4: Simplify right side
    33,627x = 2,885,945,841
  5. Step 5: Solve for x
    x = 2,885,945,841/33,627
  6. Step 6: Final answer
    x = 85,822.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.