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Finding the Third Proportional to 33,546 and 43,023

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Solution

The third proportional to 33,546 and 43,023 is: 55,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,546 : 43,023 = 43,023 : x
  2. Step 2: Convert to fraction form
    33,546/43,023 = 43,023/x
  3. Step 3: Cross multiply
    33,546x = 43,023 × 43,023
  4. Step 4: Simplify right side
    33,546x = 1,850,978,529
  5. Step 5: Solve for x
    x = 1,850,978,529/33,546
  6. Step 6: Final answer
    x = 55,177.32

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.