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Finding the Third Proportional to 18,980 and 30,390

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Solution

The third proportional to 18,980 and 30,390 is: 48,659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,980 : 30,390 = 30,390 : x
  2. Step 2: Convert to fraction form
    18,980/30,390 = 30,390/x
  3. Step 3: Cross multiply
    18,980x = 30,390 × 30,390
  4. Step 4: Simplify right side
    18,980x = 923,552,100
  5. Step 5: Solve for x
    x = 923,552,100/18,980
  6. Step 6: Final answer
    x = 48,659.23

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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.