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Finding the Third Proportional to 150,625 and 321,266

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Solution

The third proportional to 150,625 and 321,266 is: 685,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,625 : 321,266 = 321,266 : x
  2. Step 2: Convert to fraction form
    150,625/321,266 = 321,266/x
  3. Step 3: Cross multiply
    150,625x = 321,266 × 321,266
  4. Step 4: Simplify right side
    150,625x = 103,211,842,756
  5. Step 5: Solve for x
    x = 103,211,842,756/150,625
  6. Step 6: Final answer
    x = 685,223.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.