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Finding the Third Proportional to 8,010.75 and 11,949.75

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Solution

The third proportional to 8,010.75 and 11,949.75 is: 17,825.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,010.75 : 11,949.75 = 11,949.75 : x
  2. Step 2: Convert to fraction form
    8,010.75/11,949.75 = 11,949.75/x
  3. Step 3: Cross multiply
    8,010.75x = 11,949.75 × 11,949.75
  4. Step 4: Simplify right side
    8,010.75x = 142,796,525.06
  5. Step 5: Solve for x
    x = 142,796,525.06/8,010.75
  6. Step 6: Final answer
    x = 17,825.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.