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Finding the Third Proportional to 212,996 and 323,384

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Solution

The third proportional to 212,996 and 323,384 is: 490,982.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,996 : 323,384 = 323,384 : x
  2. Step 2: Convert to fraction form
    212,996/323,384 = 323,384/x
  3. Step 3: Cross multiply
    212,996x = 323,384 × 323,384
  4. Step 4: Simplify right side
    212,996x = 104,577,211,456
  5. Step 5: Solve for x
    x = 104,577,211,456/212,996
  6. Step 6: Final answer
    x = 490,982.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.