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Finding the Third Proportional to 198,189 and 349,830

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Solution

The third proportional to 198,189 and 349,830 is: 617,496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,189 : 349,830 = 349,830 : x
  2. Step 2: Convert to fraction form
    198,189/349,830 = 349,830/x
  3. Step 3: Cross multiply
    198,189x = 349,830 × 349,830
  4. Step 4: Simplify right side
    198,189x = 122,381,028,900
  5. Step 5: Solve for x
    x = 122,381,028,900/198,189
  6. Step 6: Final answer
    x = 617,496.58

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.