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Finding the Third Proportional to 7,919.25 and 10,661.25

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Solution

The third proportional to 7,919.25 and 10,661.25 is: 14,352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,919.25 : 10,661.25 = 10,661.25 : x
  2. Step 2: Convert to fraction form
    7,919.25/10,661.25 = 10,661.25/x
  3. Step 3: Cross multiply
    7,919.25x = 10,661.25 × 10,661.25
  4. Step 4: Simplify right side
    7,919.25x = 113,662,251.56
  5. Step 5: Solve for x
    x = 113,662,251.56/7,919.25
  6. Step 6: Final answer
    x = 14,352.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.