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Finding the Third Proportional to 203,868 and 433,980

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Solution

The third proportional to 203,868 and 433,980 is: 923,826.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,868 : 433,980 = 433,980 : x
  2. Step 2: Convert to fraction form
    203,868/433,980 = 433,980/x
  3. Step 3: Cross multiply
    203,868x = 433,980 × 433,980
  4. Step 4: Simplify right side
    203,868x = 188,338,640,400
  5. Step 5: Solve for x
    x = 188,338,640,400/203,868
  6. Step 6: Final answer
    x = 923,826.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.