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Finding the Third Proportional to 203,940.75 and 315,135

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Solution

The third proportional to 203,940.75 and 315,135 is: 486,955.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,940.75 : 315,135 = 315,135 : x
  2. Step 2: Convert to fraction form
    203,940.75/315,135 = 315,135/x
  3. Step 3: Cross multiply
    203,940.75x = 315,135 × 315,135
  4. Step 4: Simplify right side
    203,940.75x = 99,310,068,225
  5. Step 5: Solve for x
    x = 99,310,068,225/203,940.75
  6. Step 6: Final answer
    x = 486,955.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.