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Finding the Third Proportional to 9,972 and 20,976.75

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Solution

The third proportional to 9,972 and 20,976.75 is: 44,125.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972 : 20,976.75 = 20,976.75 : x
  2. Step 2: Convert to fraction form
    9,972/20,976.75 = 20,976.75/x
  3. Step 3: Cross multiply
    9,972x = 20,976.75 × 20,976.75
  4. Step 4: Simplify right side
    9,972x = 440,024,040.56
  5. Step 5: Solve for x
    x = 440,024,040.56/9,972
  6. Step 6: Final answer
    x = 44,125.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.