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Finding the Third Proportional to 9,690 and 22,245

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Solution

The third proportional to 9,690 and 22,245 is: 51,067.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690 : 22,245 = 22,245 : x
  2. Step 2: Convert to fraction form
    9,690/22,245 = 22,245/x
  3. Step 3: Cross multiply
    9,690x = 22,245 × 22,245
  4. Step 4: Simplify right side
    9,690x = 494,840,025
  5. Step 5: Solve for x
    x = 494,840,025/9,690
  6. Step 6: Final answer
    x = 51,067.08

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.