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Finding the Third Proportional to 12,408.75 and 18,615.38

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Solution

The third proportional to 12,408.75 and 18,615.38 is: 27,926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.75 : 18,615.38 = 18,615.38 : x
  2. Step 2: Convert to fraction form
    12,408.75/18,615.38 = 18,615.38/x
  3. Step 3: Cross multiply
    12,408.75x = 18,615.38 × 18,615.38
  4. Step 4: Simplify right side
    12,408.75x = 346,532,186.39
  5. Step 5: Solve for x
    x = 346,532,186.39/12,408.75
  6. Step 6: Final answer
    x = 27,926.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.