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Finding the Third Proportional to 21,832 and 33,577

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Solution

The third proportional to 21,832 and 33,577 is: 51,640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832 : 33,577 = 33,577 : x
  2. Step 2: Convert to fraction form
    21,832/33,577 = 33,577/x
  3. Step 3: Cross multiply
    21,832x = 33,577 × 33,577
  4. Step 4: Simplify right side
    21,832x = 1,127,414,929
  5. Step 5: Solve for x
    x = 1,127,414,929/21,832
  6. Step 6: Final answer
    x = 51,640.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.