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Finding the Third Proportional to 139,867 and 210,962

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Solution

The third proportional to 139,867 and 210,962 is: 318,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,867 : 210,962 = 210,962 : x
  2. Step 2: Convert to fraction form
    139,867/210,962 = 210,962/x
  3. Step 3: Cross multiply
    139,867x = 210,962 × 210,962
  4. Step 4: Simplify right side
    139,867x = 44,504,965,444
  5. Step 5: Solve for x
    x = 44,504,965,444/139,867
  6. Step 6: Final answer
    x = 318,194.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.