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Finding the Third Proportional to 212,982 and 323,361

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Solution

The third proportional to 212,982 and 323,361 is: 490,944.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,982 : 323,361 = 323,361 : x
  2. Step 2: Convert to fraction form
    212,982/323,361 = 323,361/x
  3. Step 3: Cross multiply
    212,982x = 323,361 × 323,361
  4. Step 4: Simplify right side
    212,982x = 104,562,336,321
  5. Step 5: Solve for x
    x = 104,562,336,321/212,982
  6. Step 6: Final answer
    x = 490,944.48

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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.