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Finding the Third Proportional to 12,729 and 18,334

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Solution

The third proportional to 12,729 and 18,334 is: 26,407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729 : 18,334 = 18,334 : x
  2. Step 2: Convert to fraction form
    12,729/18,334 = 18,334/x
  3. Step 3: Cross multiply
    12,729x = 18,334 × 18,334
  4. Step 4: Simplify right side
    12,729x = 336,135,556
  5. Step 5: Solve for x
    x = 336,135,556/12,729
  6. Step 6: Final answer
    x = 26,407.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.