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Finding the Third Proportional to 128,920 and 198,372

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Solution

The third proportional to 128,920 and 198,372 is: 305,239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,920 : 198,372 = 198,372 : x
  2. Step 2: Convert to fraction form
    128,920/198,372 = 198,372/x
  3. Step 3: Cross multiply
    128,920x = 198,372 × 198,372
  4. Step 4: Simplify right side
    128,920x = 39,351,450,384
  5. Step 5: Solve for x
    x = 39,351,450,384/128,920
  6. Step 6: Final answer
    x = 305,239.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.