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Finding the Third Proportional to 212,876 and 320,206

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Solution

The third proportional to 212,876 and 320,206 is: 481,650.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,876 : 320,206 = 320,206 : x
  2. Step 2: Convert to fraction form
    212,876/320,206 = 320,206/x
  3. Step 3: Cross multiply
    212,876x = 320,206 × 320,206
  4. Step 4: Simplify right side
    212,876x = 102,531,882,436
  5. Step 5: Solve for x
    x = 102,531,882,436/212,876
  6. Step 6: Final answer
    x = 481,650.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.