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Finding the Third Proportional to 8,112.75 and 10,899.75

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Solution

The third proportional to 8,112.75 and 10,899.75 is: 14,644.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.75 : 10,899.75 = 10,899.75 : x
  2. Step 2: Convert to fraction form
    8,112.75/10,899.75 = 10,899.75/x
  3. Step 3: Cross multiply
    8,112.75x = 10,899.75 × 10,899.75
  4. Step 4: Simplify right side
    8,112.75x = 118,804,550.06
  5. Step 5: Solve for x
    x = 118,804,550.06/8,112.75
  6. Step 6: Final answer
    x = 14,644.18

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.