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Finding the Third Proportional to 4,940 and 12,110

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Solution

The third proportional to 4,940 and 12,110 is: 29,686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940 : 12,110 = 12,110 : x
  2. Step 2: Convert to fraction form
    4,940/12,110 = 12,110/x
  3. Step 3: Cross multiply
    4,940x = 12,110 × 12,110
  4. Step 4: Simplify right side
    4,940x = 146,652,100
  5. Step 5: Solve for x
    x = 146,652,100/4,940
  6. Step 6: Final answer
    x = 29,686.66

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.