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Finding the Third Proportional to 205,224 and 315,234

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Solution

The third proportional to 205,224 and 315,234 is: 484,214.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,224 : 315,234 = 315,234 : x
  2. Step 2: Convert to fraction form
    205,224/315,234 = 315,234/x
  3. Step 3: Cross multiply
    205,224x = 315,234 × 315,234
  4. Step 4: Simplify right side
    205,224x = 99,372,474,756
  5. Step 5: Solve for x
    x = 99,372,474,756/205,224
  6. Step 6: Final answer
    x = 484,214.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.