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Finding the Third Proportional to 18,845 and 30,122

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Solution

The third proportional to 18,845 and 30,122 is: 48,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,845 : 30,122 = 30,122 : x
  2. Step 2: Convert to fraction form
    18,845/30,122 = 30,122/x
  3. Step 3: Cross multiply
    18,845x = 30,122 × 30,122
  4. Step 4: Simplify right side
    18,845x = 907,334,884
  5. Step 5: Solve for x
    x = 907,334,884/18,845
  6. Step 6: Final answer
    x = 48,147.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.