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Finding the Third Proportional to 199,944 and 422,365

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Solution

The third proportional to 199,944 and 422,365 is: 892,210.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,944 : 422,365 = 422,365 : x
  2. Step 2: Convert to fraction form
    199,944/422,365 = 422,365/x
  3. Step 3: Cross multiply
    199,944x = 422,365 × 422,365
  4. Step 4: Simplify right side
    199,944x = 178,392,193,225
  5. Step 5: Solve for x
    x = 178,392,193,225/199,944
  6. Step 6: Final answer
    x = 892,210.79

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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.