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Finding the Third Proportional to 212,863.50 and 320,190.75

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Solution

The third proportional to 212,863.50 and 320,190.75 is: 481,633.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,863.50 : 320,190.75 = 320,190.75 : x
  2. Step 2: Convert to fraction form
    212,863.50/320,190.75 = 320,190.75/x
  3. Step 3: Cross multiply
    212,863.50x = 320,190.75 × 320,190.75
  4. Step 4: Simplify right side
    212,863.50x = 102,522,116,385.56
  5. Step 5: Solve for x
    x = 102,522,116,385.56/212,863.50
  6. Step 6: Final answer
    x = 481,633.14

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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.