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Finding the Third Proportional to 101,731 and 220,975

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Solution

The third proportional to 101,731 and 220,975 is: 479,990.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,731 : 220,975 = 220,975 : x
  2. Step 2: Convert to fraction form
    101,731/220,975 = 220,975/x
  3. Step 3: Cross multiply
    101,731x = 220,975 × 220,975
  4. Step 4: Simplify right side
    101,731x = 48,829,950,625
  5. Step 5: Solve for x
    x = 48,829,950,625/101,731
  6. Step 6: Final answer
    x = 479,990.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.