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Finding the Third Proportional to 137,414 and 218,589

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Solution

The third proportional to 137,414 and 218,589 is: 347,716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,414 : 218,589 = 218,589 : x
  2. Step 2: Convert to fraction form
    137,414/218,589 = 218,589/x
  3. Step 3: Cross multiply
    137,414x = 218,589 × 218,589
  4. Step 4: Simplify right side
    137,414x = 47,781,150,921
  5. Step 5: Solve for x
    x = 47,781,150,921/137,414
  6. Step 6: Final answer
    x = 347,716.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.