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Finding the Third Proportional to 203,431.50 and 300,999.38

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Solution

The third proportional to 203,431.50 and 300,999.38 is: 445,361.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,431.50 : 300,999.38 = 300,999.38 : x
  2. Step 2: Convert to fraction form
    203,431.50/300,999.38 = 300,999.38/x
  3. Step 3: Cross multiply
    203,431.50x = 300,999.38 × 300,999.38
  4. Step 4: Simplify right side
    203,431.50x = 90,600,623,750.39
  5. Step 5: Solve for x
    x = 90,600,623,750.39/203,431.50
  6. Step 6: Final answer
    x = 445,361.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.