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Finding the Third Proportional to 143,708 and 193,325

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Solution

The third proportional to 143,708 and 193,325 is: 260,072.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,708 : 193,325 = 193,325 : x
  2. Step 2: Convert to fraction form
    143,708/193,325 = 193,325/x
  3. Step 3: Cross multiply
    143,708x = 193,325 × 193,325
  4. Step 4: Simplify right side
    143,708x = 37,374,555,625
  5. Step 5: Solve for x
    x = 37,374,555,625/143,708
  6. Step 6: Final answer
    x = 260,072.90

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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.