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Finding the Third Proportional to 67,201 and 143,234

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Solution

The third proportional to 67,201 and 143,234 is: 305,292.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,201 : 143,234 = 143,234 : x
  2. Step 2: Convert to fraction form
    67,201/143,234 = 143,234/x
  3. Step 3: Cross multiply
    67,201x = 143,234 × 143,234
  4. Step 4: Simplify right side
    67,201x = 20,515,978,756
  5. Step 5: Solve for x
    x = 20,515,978,756/67,201
  6. Step 6: Final answer
    x = 305,292.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.