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Finding the Third Proportional to 33,561 and 68,577

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Solution

The third proportional to 33,561 and 68,577 is: 140,127.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,561 : 68,577 = 68,577 : x
  2. Step 2: Convert to fraction form
    33,561/68,577 = 68,577/x
  3. Step 3: Cross multiply
    33,561x = 68,577 × 68,577
  4. Step 4: Simplify right side
    33,561x = 4,702,804,929
  5. Step 5: Solve for x
    x = 4,702,804,929/33,561
  6. Step 6: Final answer
    x = 140,127.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.