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Finding the Third Proportional to 8,638 and 13,031

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Solution

The third proportional to 8,638 and 13,031 is: 19,658.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638 : 13,031 = 13,031 : x
  2. Step 2: Convert to fraction form
    8,638/13,031 = 13,031/x
  3. Step 3: Cross multiply
    8,638x = 13,031 × 13,031
  4. Step 4: Simplify right side
    8,638x = 169,806,961
  5. Step 5: Solve for x
    x = 169,806,961/8,638
  6. Step 6: Final answer
    x = 19,658.13

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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.