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Finding the Third Proportional to 7,845.75 and 10,998.75

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Solution

The third proportional to 7,845.75 and 10,998.75 is: 15,418.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845.75 : 10,998.75 = 10,998.75 : x
  2. Step 2: Convert to fraction form
    7,845.75/10,998.75 = 10,998.75/x
  3. Step 3: Cross multiply
    7,845.75x = 10,998.75 × 10,998.75
  4. Step 4: Simplify right side
    7,845.75x = 120,972,501.56
  5. Step 5: Solve for x
    x = 120,972,501.56/7,845.75
  6. Step 6: Final answer
    x = 15,418.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.