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Finding the Third Proportional to 203,976 and 315,054

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Solution

The third proportional to 203,976 and 315,054 is: 486,621.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,976 : 315,054 = 315,054 : x
  2. Step 2: Convert to fraction form
    203,976/315,054 = 315,054/x
  3. Step 3: Cross multiply
    203,976x = 315,054 × 315,054
  4. Step 4: Simplify right side
    203,976x = 99,259,022,916
  5. Step 5: Solve for x
    x = 99,259,022,916/203,976
  6. Step 6: Final answer
    x = 486,621.09

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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.