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Finding the Third Proportional to 21,841 and 47,679

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Solution

The third proportional to 21,841 and 47,679 is: 104,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,841 : 47,679 = 47,679 : x
  2. Step 2: Convert to fraction form
    21,841/47,679 = 47,679/x
  3. Step 3: Cross multiply
    21,841x = 47,679 × 47,679
  4. Step 4: Simplify right side
    21,841x = 2,273,287,041
  5. Step 5: Solve for x
    x = 2,273,287,041/21,841
  6. Step 6: Final answer
    x = 104,083.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.