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Finding the Third Proportional to 139,869 and 214,634

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Solution

The third proportional to 139,869 and 214,634 is: 329,363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,869 : 214,634 = 214,634 : x
  2. Step 2: Convert to fraction form
    139,869/214,634 = 214,634/x
  3. Step 3: Cross multiply
    139,869x = 214,634 × 214,634
  4. Step 4: Simplify right side
    139,869x = 46,067,753,956
  5. Step 5: Solve for x
    x = 46,067,753,956/139,869
  6. Step 6: Final answer
    x = 329,363.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.