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Finding the Third Proportional to 19,743 and 43,638

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Solution

The third proportional to 19,743 and 43,638 is: 96,453.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,743 : 43,638 = 43,638 : x
  2. Step 2: Convert to fraction form
    19,743/43,638 = 43,638/x
  3. Step 3: Cross multiply
    19,743x = 43,638 × 43,638
  4. Step 4: Simplify right side
    19,743x = 1,904,275,044
  5. Step 5: Solve for x
    x = 1,904,275,044/19,743
  6. Step 6: Final answer
    x = 96,453.18

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.