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Finding the Third Proportional to 123,228 and 198,396

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Solution

The third proportional to 123,228 and 198,396 is: 319,415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,228 : 198,396 = 198,396 : x
  2. Step 2: Convert to fraction form
    123,228/198,396 = 198,396/x
  3. Step 3: Cross multiply
    123,228x = 198,396 × 198,396
  4. Step 4: Simplify right side
    123,228x = 39,360,972,816
  5. Step 5: Solve for x
    x = 39,360,972,816/123,228
  6. Step 6: Final answer
    x = 319,415.82

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.