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Finding the Third Proportional to 200,907 and 422,502

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Solution

The third proportional to 200,907 and 422,502 is: 888,510.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,907 : 422,502 = 422,502 : x
  2. Step 2: Convert to fraction form
    200,907/422,502 = 422,502/x
  3. Step 3: Cross multiply
    200,907x = 422,502 × 422,502
  4. Step 4: Simplify right side
    200,907x = 178,507,940,004
  5. Step 5: Solve for x
    x = 178,507,940,004/200,907
  6. Step 6: Final answer
    x = 888,510.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.