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Finding the Third Proportional to 12,321 and 18,626

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Solution

The third proportional to 12,321 and 18,626 is: 28,157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,321 : 18,626 = 18,626 : x
  2. Step 2: Convert to fraction form
    12,321/18,626 = 18,626/x
  3. Step 3: Cross multiply
    12,321x = 18,626 × 18,626
  4. Step 4: Simplify right side
    12,321x = 346,927,876
  5. Step 5: Solve for x
    x = 346,927,876/12,321
  6. Step 6: Final answer
    x = 28,157.44

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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.