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Finding the Third Proportional to 143,243.75 and 303,562.38

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Solution

The third proportional to 143,243.75 and 303,562.38 is: 643,309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,243.75 : 303,562.38 = 303,562.38 : x
  2. Step 2: Convert to fraction form
    143,243.75/303,562.38 = 303,562.38/x
  3. Step 3: Cross multiply
    143,243.75x = 303,562.38 × 303,562.38
  4. Step 4: Simplify right side
    143,243.75x = 92,150,115,515.64
  5. Step 5: Solve for x
    x = 92,150,115,515.64/143,243.75
  6. Step 6: Final answer
    x = 643,309.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.