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Finding the Third Proportional to 143,205.75 and 308,601

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Solution

The third proportional to 143,205.75 and 308,601 is: 665,019.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,205.75 : 308,601 = 308,601 : x
  2. Step 2: Convert to fraction form
    143,205.75/308,601 = 308,601/x
  3. Step 3: Cross multiply
    143,205.75x = 308,601 × 308,601
  4. Step 4: Simplify right side
    143,205.75x = 95,234,577,201
  5. Step 5: Solve for x
    x = 95,234,577,201/143,205.75
  6. Step 6: Final answer
    x = 665,019.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.