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Finding the Third Proportional to 139,963 and 215,149

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Solution

The third proportional to 139,963 and 215,149 is: 330,723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,963 : 215,149 = 215,149 : x
  2. Step 2: Convert to fraction form
    139,963/215,149 = 215,149/x
  3. Step 3: Cross multiply
    139,963x = 215,149 × 215,149
  4. Step 4: Simplify right side
    139,963x = 46,289,092,201
  5. Step 5: Solve for x
    x = 46,289,092,201/139,963
  6. Step 6: Final answer
    x = 330,723.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.