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Finding the Third Proportional to 150,680 and 220,251

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Solution

The third proportional to 150,680 and 220,251 is: 321,943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,680 : 220,251 = 220,251 : x
  2. Step 2: Convert to fraction form
    150,680/220,251 = 220,251/x
  3. Step 3: Cross multiply
    150,680x = 220,251 × 220,251
  4. Step 4: Simplify right side
    150,680x = 48,510,503,001
  5. Step 5: Solve for x
    x = 48,510,503,001/150,680
  6. Step 6: Final answer
    x = 321,943.87

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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.