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Finding the Third Proportional to 7,872.25 and 11,007.25

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Solution

The third proportional to 7,872.25 and 11,007.25 is: 15,390.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.25 : 11,007.25 = 11,007.25 : x
  2. Step 2: Convert to fraction form
    7,872.25/11,007.25 = 11,007.25/x
  3. Step 3: Cross multiply
    7,872.25x = 11,007.25 × 11,007.25
  4. Step 4: Simplify right side
    7,872.25x = 121,159,552.56
  5. Step 5: Solve for x
    x = 121,159,552.56/7,872.25
  6. Step 6: Final answer
    x = 15,390.71

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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.