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Finding the Third Proportional to 212,868 and 320,190.47

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Solution

The third proportional to 212,868 and 320,190.47 is: 481,622.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,868 : 320,190.47 = 320,190.47 : x
  2. Step 2: Convert to fraction form
    212,868/320,190.47 = 320,190.47/x
  3. Step 3: Cross multiply
    212,868x = 320,190.47 × 320,190.47
  4. Step 4: Simplify right side
    212,868x = 102,521,936,278.35
  5. Step 5: Solve for x
    x = 102,521,936,278.35/212,868
  6. Step 6: Final answer
    x = 481,622.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.