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Finding the Third Proportional to 103,920 and 251,268

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Solution

The third proportional to 103,920 and 251,268 is: 607,540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,920 : 251,268 = 251,268 : x
  2. Step 2: Convert to fraction form
    103,920/251,268 = 251,268/x
  3. Step 3: Cross multiply
    103,920x = 251,268 × 251,268
  4. Step 4: Simplify right side
    103,920x = 63,135,607,824
  5. Step 5: Solve for x
    x = 63,135,607,824/103,920
  6. Step 6: Final answer
    x = 607,540.49

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.