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Finding the Third Proportional to 199,941 and 422,358

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Solution

The third proportional to 199,941 and 422,358 is: 892,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,941 : 422,358 = 422,358 : x
  2. Step 2: Convert to fraction form
    199,941/422,358 = 422,358/x
  3. Step 3: Cross multiply
    199,941x = 422,358 × 422,358
  4. Step 4: Simplify right side
    199,941x = 178,386,280,164
  5. Step 5: Solve for x
    x = 178,386,280,164/199,941
  6. Step 6: Final answer
    x = 892,194.60

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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.