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Finding the Third Proportional to 8,218 and 12,110

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Solution

The third proportional to 8,218 and 12,110 is: 17,845.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218 : 12,110 = 12,110 : x
  2. Step 2: Convert to fraction form
    8,218/12,110 = 12,110/x
  3. Step 3: Cross multiply
    8,218x = 12,110 × 12,110
  4. Step 4: Simplify right side
    8,218x = 146,652,100
  5. Step 5: Solve for x
    x = 146,652,100/8,218
  6. Step 6: Final answer
    x = 17,845.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.