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Finding the Third Proportional to 18,489 and 30,040.50

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Solution

The third proportional to 18,489 and 30,040.50 is: 48,809.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,489 : 30,040.50 = 30,040.50 : x
  2. Step 2: Convert to fraction form
    18,489/30,040.50 = 30,040.50/x
  3. Step 3: Cross multiply
    18,489x = 30,040.50 × 30,040.50
  4. Step 4: Simplify right side
    18,489x = 902,431,640.25
  5. Step 5: Solve for x
    x = 902,431,640.25/18,489
  6. Step 6: Final answer
    x = 48,809.11

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.