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Finding the Third Proportional to 9,721.27 and 20,976.47

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Solution

The third proportional to 9,721.27 and 20,976.47 is: 45,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.27 : 20,976.47 = 20,976.47 : x
  2. Step 2: Convert to fraction form
    9,721.27/20,976.47 = 20,976.47/x
  3. Step 3: Cross multiply
    9,721.27x = 20,976.47 × 20,976.47
  4. Step 4: Simplify right side
    9,721.27x = 440,012,241.22
  5. Step 5: Solve for x
    x = 440,012,241.22/9,721.27
  6. Step 6: Final answer
    x = 45,262.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.