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Finding the Third Proportional to 139,099 and 218,197

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Solution

The third proportional to 139,099 and 218,197 is: 342,273.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,099 : 218,197 = 218,197 : x
  2. Step 2: Convert to fraction form
    139,099/218,197 = 218,197/x
  3. Step 3: Cross multiply
    139,099x = 218,197 × 218,197
  4. Step 4: Simplify right side
    139,099x = 47,609,930,809
  5. Step 5: Solve for x
    x = 47,609,930,809/139,099
  6. Step 6: Final answer
    x = 342,273.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.