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Finding the Third Proportional to 200,003 and 422,485

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Solution

The third proportional to 200,003 and 422,485 is: 892,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,003 : 422,485 = 422,485 : x
  2. Step 2: Convert to fraction form
    200,003/422,485 = 422,485/x
  3. Step 3: Cross multiply
    200,003x = 422,485 × 422,485
  4. Step 4: Simplify right side
    200,003x = 178,493,575,225
  5. Step 5: Solve for x
    x = 178,493,575,225/200,003
  6. Step 6: Final answer
    x = 892,454.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.