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Finding the Third Proportional to 11,778.75 and 18,078.19

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Solution

The third proportional to 11,778.75 and 18,078.19 is: 27,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.75 : 18,078.19 = 18,078.19 : x
  2. Step 2: Convert to fraction form
    11,778.75/18,078.19 = 18,078.19/x
  3. Step 3: Cross multiply
    11,778.75x = 18,078.19 × 18,078.19
  4. Step 4: Simplify right side
    11,778.75x = 326,820,863.29
  5. Step 5: Solve for x
    x = 326,820,863.29/11,778.75
  6. Step 6: Final answer
    x = 27,746.65

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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.