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Finding the Third Proportional to 212,367 and 320,190

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Solution

The third proportional to 212,367 and 320,190 is: 482,756.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,367 : 320,190 = 320,190 : x
  2. Step 2: Convert to fraction form
    212,367/320,190 = 320,190/x
  3. Step 3: Cross multiply
    212,367x = 320,190 × 320,190
  4. Step 4: Simplify right side
    212,367x = 102,521,636,100
  5. Step 5: Solve for x
    x = 102,521,636,100/212,367
  6. Step 6: Final answer
    x = 482,756.91

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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.