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Finding the Third Proportional to 12,408.19 and 18,936.91

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Solution

The third proportional to 12,408.19 and 18,936.91 is: 28,900.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.19 : 18,936.91 = 18,936.91 : x
  2. Step 2: Convert to fraction form
    12,408.19/18,936.91 = 18,936.91/x
  3. Step 3: Cross multiply
    12,408.19x = 18,936.91 × 18,936.91
  4. Step 4: Simplify right side
    12,408.19x = 358,606,714.21
  5. Step 5: Solve for x
    x = 358,606,714.21/12,408.19
  6. Step 6: Final answer
    x = 28,900.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.