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Finding the Third Proportional to 218,340 and 347,193

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Solution

The third proportional to 218,340 and 347,193 is: 552,088.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,340 : 347,193 = 347,193 : x
  2. Step 2: Convert to fraction form
    218,340/347,193 = 347,193/x
  3. Step 3: Cross multiply
    218,340x = 347,193 × 347,193
  4. Step 4: Simplify right side
    218,340x = 120,542,979,249
  5. Step 5: Solve for x
    x = 120,542,979,249/218,340
  6. Step 6: Final answer
    x = 552,088.39

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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.