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Finding the Third Proportional to 7,785 and 11,905

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Solution

The third proportional to 7,785 and 11,905 is: 18,205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785 : 11,905 = 11,905 : x
  2. Step 2: Convert to fraction form
    7,785/11,905 = 11,905/x
  3. Step 3: Cross multiply
    7,785x = 11,905 × 11,905
  4. Step 4: Simplify right side
    7,785x = 141,729,025
  5. Step 5: Solve for x
    x = 141,729,025/7,785
  6. Step 6: Final answer
    x = 18,205.40

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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.