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Finding the Third Proportional to 9,986 and 20,923

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Solution

The third proportional to 9,986 and 20,923 is: 43,838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986 : 20,923 = 20,923 : x
  2. Step 2: Convert to fraction form
    9,986/20,923 = 20,923/x
  3. Step 3: Cross multiply
    9,986x = 20,923 × 20,923
  4. Step 4: Simplify right side
    9,986x = 437,771,929
  5. Step 5: Solve for x
    x = 437,771,929/9,986
  6. Step 6: Final answer
    x = 43,838.57

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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.