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Finding the Third Proportional to 9,891 and 21,729

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Solution

The third proportional to 9,891 and 21,729 is: 47,735.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891 : 21,729 = 21,729 : x
  2. Step 2: Convert to fraction form
    9,891/21,729 = 21,729/x
  3. Step 3: Cross multiply
    9,891x = 21,729 × 21,729
  4. Step 4: Simplify right side
    9,891x = 472,149,441
  5. Step 5: Solve for x
    x = 472,149,441/9,891
  6. Step 6: Final answer
    x = 47,735.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.