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Finding the Third Proportional to 28,212 and 66,839

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Solution

The third proportional to 28,212 and 66,839 is: 158,352.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,212 : 66,839 = 66,839 : x
  2. Step 2: Convert to fraction form
    28,212/66,839 = 66,839/x
  3. Step 3: Cross multiply
    28,212x = 66,839 × 66,839
  4. Step 4: Simplify right side
    28,212x = 4,467,451,921
  5. Step 5: Solve for x
    x = 4,467,451,921/28,212
  6. Step 6: Final answer
    x = 158,352.90

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.