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Finding the Third Proportional to 154,250 and 320,812

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Solution

The third proportional to 154,250 and 320,812 is: 667,230.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,250 : 320,812 = 320,812 : x
  2. Step 2: Convert to fraction form
    154,250/320,812 = 320,812/x
  3. Step 3: Cross multiply
    154,250x = 320,812 × 320,812
  4. Step 4: Simplify right side
    154,250x = 102,920,339,344
  5. Step 5: Solve for x
    x = 102,920,339,344/154,250
  6. Step 6: Final answer
    x = 667,230.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.