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Finding the Third Proportional to 11,816 and 18,916

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Solution

The third proportional to 11,816 and 18,916 is: 30,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816 : 18,916 = 18,916 : x
  2. Step 2: Convert to fraction form
    11,816/18,916 = 18,916/x
  3. Step 3: Cross multiply
    11,816x = 18,916 × 18,916
  4. Step 4: Simplify right side
    11,816x = 357,815,056
  5. Step 5: Solve for x
    x = 357,815,056/11,816
  6. Step 6: Final answer
    x = 30,282.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.