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Finding the Third Proportional to 212,400 and 320,238

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Solution

The third proportional to 212,400 and 320,238 is: 482,826.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,400 : 320,238 = 320,238 : x
  2. Step 2: Convert to fraction form
    212,400/320,238 = 320,238/x
  3. Step 3: Cross multiply
    212,400x = 320,238 × 320,238
  4. Step 4: Simplify right side
    212,400x = 102,552,376,644
  5. Step 5: Solve for x
    x = 102,552,376,644/212,400
  6. Step 6: Final answer
    x = 482,826.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.