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Finding the Third Proportional to 9,623 and 20,638

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Solution

The third proportional to 9,623 and 20,638 is: 44,261.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623 : 20,638 = 20,638 : x
  2. Step 2: Convert to fraction form
    9,623/20,638 = 20,638/x
  3. Step 3: Cross multiply
    9,623x = 20,638 × 20,638
  4. Step 4: Simplify right side
    9,623x = 425,927,044
  5. Step 5: Solve for x
    x = 425,927,044/9,623
  6. Step 6: Final answer
    x = 44,261.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.