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Finding the Third Proportional to 203,780 and 449,032

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Solution

The third proportional to 203,780 and 449,032 is: 989,448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,780 : 449,032 = 449,032 : x
  2. Step 2: Convert to fraction form
    203,780/449,032 = 449,032/x
  3. Step 3: Cross multiply
    203,780x = 449,032 × 449,032
  4. Step 4: Simplify right side
    203,780x = 201,629,737,024
  5. Step 5: Solve for x
    x = 201,629,737,024/203,780
  6. Step 6: Final answer
    x = 989,448.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.