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Finding the Third Proportional to 28,204 and 66,817

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Solution

The third proportional to 28,204 and 66,817 is: 158,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,204 : 66,817 = 66,817 : x
  2. Step 2: Convert to fraction form
    28,204/66,817 = 66,817/x
  3. Step 3: Cross multiply
    28,204x = 66,817 × 66,817
  4. Step 4: Simplify right side
    28,204x = 4,464,511,489
  5. Step 5: Solve for x
    x = 4,464,511,489/28,204
  6. Step 6: Final answer
    x = 158,293.56

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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.