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Finding the Third Proportional to 7,998.75 and 9,105.75

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Solution

The third proportional to 7,998.75 and 9,105.75 is: 10,365.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998.75 : 9,105.75 = 9,105.75 : x
  2. Step 2: Convert to fraction form
    7,998.75/9,105.75 = 9,105.75/x
  3. Step 3: Cross multiply
    7,998.75x = 9,105.75 × 9,105.75
  4. Step 4: Simplify right side
    7,998.75x = 82,914,683.06
  5. Step 5: Solve for x
    x = 82,914,683.06/7,998.75
  6. Step 6: Final answer
    x = 10,365.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.