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Finding the Third Proportional to 43,520 and 66,189

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Solution

The third proportional to 43,520 and 66,189 is: 100,665.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,520 : 66,189 = 66,189 : x
  2. Step 2: Convert to fraction form
    43,520/66,189 = 66,189/x
  3. Step 3: Cross multiply
    43,520x = 66,189 × 66,189
  4. Step 4: Simplify right side
    43,520x = 4,380,983,721
  5. Step 5: Solve for x
    x = 4,380,983,721/43,520
  6. Step 6: Final answer
    x = 100,665.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.