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Finding the Third Proportional to 199,965 and 422,412

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Solution

The third proportional to 199,965 and 422,412 is: 892,315.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,965 : 422,412 = 422,412 : x
  2. Step 2: Convert to fraction form
    199,965/422,412 = 422,412/x
  3. Step 3: Cross multiply
    199,965x = 422,412 × 422,412
  4. Step 4: Simplify right side
    199,965x = 178,431,897,744
  5. Step 5: Solve for x
    x = 178,431,897,744/199,965
  6. Step 6: Final answer
    x = 892,315.64

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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.