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Finding the Third Proportional to 200,039 and 433,977

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Solution

The third proportional to 200,039 and 433,977 is: 941,496.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,039 : 433,977 = 433,977 : x
  2. Step 2: Convert to fraction form
    200,039/433,977 = 433,977/x
  3. Step 3: Cross multiply
    200,039x = 433,977 × 433,977
  4. Step 4: Simplify right side
    200,039x = 188,336,036,529
  5. Step 5: Solve for x
    x = 188,336,036,529/200,039
  6. Step 6: Final answer
    x = 941,496.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.