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Finding the Third Proportional to 20,161 and 21,673

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Solution

The third proportional to 20,161 and 21,673 is: 23,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,161 : 21,673 = 21,673 : x
  2. Step 2: Convert to fraction form
    20,161/21,673 = 21,673/x
  3. Step 3: Cross multiply
    20,161x = 21,673 × 21,673
  4. Step 4: Simplify right side
    20,161x = 469,718,929
  5. Step 5: Solve for x
    x = 469,718,929/20,161
  6. Step 6: Final answer
    x = 23,298.39

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.