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Finding the Third Proportional to 218,334 and 347,189

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Solution

The third proportional to 218,334 and 347,189 is: 552,090.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,334 : 347,189 = 347,189 : x
  2. Step 2: Convert to fraction form
    218,334/347,189 = 347,189/x
  3. Step 3: Cross multiply
    218,334x = 347,189 × 347,189
  4. Step 4: Simplify right side
    218,334x = 120,540,201,721
  5. Step 5: Solve for x
    x = 120,540,201,721/218,334
  6. Step 6: Final answer
    x = 552,090.84

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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.