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Finding the Third Proportional to 21,923 and 35,619

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Solution

The third proportional to 21,923 and 35,619 is: 57,871.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,923 : 35,619 = 35,619 : x
  2. Step 2: Convert to fraction form
    21,923/35,619 = 35,619/x
  3. Step 3: Cross multiply
    21,923x = 35,619 × 35,619
  4. Step 4: Simplify right side
    21,923x = 1,268,713,161
  5. Step 5: Solve for x
    x = 1,268,713,161/21,923
  6. Step 6: Final answer
    x = 57,871.33

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.