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Finding the Third Proportional to 218,340 and 347,190

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Solution

The third proportional to 218,340 and 347,190 is: 552,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,340 : 347,190 = 347,190 : x
  2. Step 2: Convert to fraction form
    218,340/347,190 = 347,190/x
  3. Step 3: Cross multiply
    218,340x = 347,190 × 347,190
  4. Step 4: Simplify right side
    218,340x = 120,540,896,100
  5. Step 5: Solve for x
    x = 120,540,896,100/218,340
  6. Step 6: Final answer
    x = 552,078.85

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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.