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Finding the Third Proportional to 204,083 and 421,265

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Solution

The third proportional to 204,083 and 421,265 is: 869,568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,083 : 421,265 = 421,265 : x
  2. Step 2: Convert to fraction form
    204,083/421,265 = 421,265/x
  3. Step 3: Cross multiply
    204,083x = 421,265 × 421,265
  4. Step 4: Simplify right side
    204,083x = 177,464,200,225
  5. Step 5: Solve for x
    x = 177,464,200,225/204,083
  6. Step 6: Final answer
    x = 869,568.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.