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Finding the Third Proportional to 150,631 and 220,173

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Solution

The third proportional to 150,631 and 220,173 is: 321,820.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,631 : 220,173 = 220,173 : x
  2. Step 2: Convert to fraction form
    150,631/220,173 = 220,173/x
  3. Step 3: Cross multiply
    150,631x = 220,173 × 220,173
  4. Step 4: Simplify right side
    150,631x = 48,476,149,929
  5. Step 5: Solve for x
    x = 48,476,149,929/150,631
  6. Step 6: Final answer
    x = 321,820.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.