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Finding the Third Proportional to 205,370 and 449,390

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Solution

The third proportional to 205,370 and 449,390 is: 983,353.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,370 : 449,390 = 449,390 : x
  2. Step 2: Convert to fraction form
    205,370/449,390 = 449,390/x
  3. Step 3: Cross multiply
    205,370x = 449,390 × 449,390
  4. Step 4: Simplify right side
    205,370x = 201,951,372,100
  5. Step 5: Solve for x
    x = 201,951,372,100/205,370
  6. Step 6: Final answer
    x = 983,353.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.