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Finding the Third Proportional to 212,978 and 323,355

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Solution

The third proportional to 212,978 and 323,355 is: 490,935.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,978 : 323,355 = 323,355 : x
  2. Step 2: Convert to fraction form
    212,978/323,355 = 323,355/x
  3. Step 3: Cross multiply
    212,978x = 323,355 × 323,355
  4. Step 4: Simplify right side
    212,978x = 104,558,456,025
  5. Step 5: Solve for x
    x = 104,558,456,025/212,978
  6. Step 6: Final answer
    x = 490,935.48

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