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Finding the Third Proportional to 213,912 and 320,868

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Solution

The third proportional to 213,912 and 320,868 is: 481,302

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,912 : 320,868 = 320,868 : x
  2. Step 2: Convert to fraction form
    213,912/320,868 = 320,868/x
  3. Step 3: Cross multiply
    213,912x = 320,868 × 320,868
  4. Step 4: Simplify right side
    213,912x = 102,956,273,424
  5. Step 5: Solve for x
    x = 102,956,273,424/213,912
  6. Step 6: Final answer
    x = 481,302

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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.