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Finding the Third Proportional to 8,286.75 and 9,015.75

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Solution

The third proportional to 8,286.75 and 9,015.75 is: 9,808.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.75 : 9,015.75 = 9,015.75 : x
  2. Step 2: Convert to fraction form
    8,286.75/9,015.75 = 9,015.75/x
  3. Step 3: Cross multiply
    8,286.75x = 9,015.75 × 9,015.75
  4. Step 4: Simplify right side
    8,286.75x = 81,283,748.06
  5. Step 5: Solve for x
    x = 81,283,748.06/8,286.75
  6. Step 6: Final answer
    x = 9,808.88

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.