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Finding the Third Proportional to 199,962 and 422,406

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Solution

The third proportional to 199,962 and 422,406 is: 892,303.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,962 : 422,406 = 422,406 : x
  2. Step 2: Convert to fraction form
    199,962/422,406 = 422,406/x
  3. Step 3: Cross multiply
    199,962x = 422,406 × 422,406
  4. Step 4: Simplify right side
    199,962x = 178,426,828,836
  5. Step 5: Solve for x
    x = 178,426,828,836/199,962
  6. Step 6: Final answer
    x = 892,303.68

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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.