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Finding the Third Proportional to 8,982 and 20,976.75

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Solution

The third proportional to 8,982 and 20,976.75 is: 48,989.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,982 : 20,976.75 = 20,976.75 : x
  2. Step 2: Convert to fraction form
    8,982/20,976.75 = 20,976.75/x
  3. Step 3: Cross multiply
    8,982x = 20,976.75 × 20,976.75
  4. Step 4: Simplify right side
    8,982x = 440,024,040.56
  5. Step 5: Solve for x
    x = 440,024,040.56/8,982
  6. Step 6: Final answer
    x = 48,989.54

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.