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Finding the Third Proportional to 14,193 and 33,577

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Solution

The third proportional to 14,193 and 33,577 is: 79,434.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,193 : 33,577 = 33,577 : x
  2. Step 2: Convert to fraction form
    14,193/33,577 = 33,577/x
  3. Step 3: Cross multiply
    14,193x = 33,577 × 33,577
  4. Step 4: Simplify right side
    14,193x = 1,127,414,929
  5. Step 5: Solve for x
    x = 1,127,414,929/14,193
  6. Step 6: Final answer
    x = 79,434.58

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.