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Finding the Third Proportional to 13,623 and 20,638

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Solution

The third proportional to 13,623 and 20,638 is: 31,265.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,623 : 20,638 = 20,638 : x
  2. Step 2: Convert to fraction form
    13,623/20,638 = 20,638/x
  3. Step 3: Cross multiply
    13,623x = 20,638 × 20,638
  4. Step 4: Simplify right side
    13,623x = 425,927,044
  5. Step 5: Solve for x
    x = 425,927,044/13,623
  6. Step 6: Final answer
    x = 31,265.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.