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Finding the Third Proportional to 131,361.25 and 203,818.75

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Solution

The third proportional to 131,361.25 and 203,818.75 is: 316,243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,361.25 : 203,818.75 = 203,818.75 : x
  2. Step 2: Convert to fraction form
    131,361.25/203,818.75 = 203,818.75/x
  3. Step 3: Cross multiply
    131,361.25x = 203,818.75 × 203,818.75
  4. Step 4: Simplify right side
    131,361.25x = 41,542,082,851.56
  5. Step 5: Solve for x
    x = 41,542,082,851.56/131,361.25
  6. Step 6: Final answer
    x = 316,243.05

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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.