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Finding the Third Proportional to 143,996 and 193,847

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Solution

The third proportional to 143,996 and 193,847 is: 260,956.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,996 : 193,847 = 193,847 : x
  2. Step 2: Convert to fraction form
    143,996/193,847 = 193,847/x
  3. Step 3: Cross multiply
    143,996x = 193,847 × 193,847
  4. Step 4: Simplify right side
    143,996x = 37,576,659,409
  5. Step 5: Solve for x
    x = 37,576,659,409/143,996
  6. Step 6: Final answer
    x = 260,956.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.