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Finding the Third Proportional to 218,338 and 347,191

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Solution

The third proportional to 218,338 and 347,191 is: 552,087.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,338 : 347,191 = 347,191 : x
  2. Step 2: Convert to fraction form
    218,338/347,191 = 347,191/x
  3. Step 3: Cross multiply
    218,338x = 347,191 × 347,191
  4. Step 4: Simplify right side
    218,338x = 120,541,590,481
  5. Step 5: Solve for x
    x = 120,541,590,481/218,338
  6. Step 6: Final answer
    x = 552,087.09

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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.