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Finding the Third Proportional to 154,920 and 338,268

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Solution

The third proportional to 154,920 and 338,268 is: 738,608.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,920 : 338,268 = 338,268 : x
  2. Step 2: Convert to fraction form
    154,920/338,268 = 338,268/x
  3. Step 3: Cross multiply
    154,920x = 338,268 × 338,268
  4. Step 4: Simplify right side
    154,920x = 114,425,239,824
  5. Step 5: Solve for x
    x = 114,425,239,824/154,920
  6. Step 6: Final answer
    x = 738,608.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.