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Finding the Third Proportional to 20,131 and 43,721

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Solution

The third proportional to 20,131 and 43,721 is: 94,954.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131 : 43,721 = 43,721 : x
  2. Step 2: Convert to fraction form
    20,131/43,721 = 43,721/x
  3. Step 3: Cross multiply
    20,131x = 43,721 × 43,721
  4. Step 4: Simplify right side
    20,131x = 1,911,525,841
  5. Step 5: Solve for x
    x = 1,911,525,841/20,131
  6. Step 6: Final answer
    x = 94,954.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.