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Finding the Third Proportional to 199,946 and 422,369

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Solution

The third proportional to 199,946 and 422,369 is: 892,218.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,946 : 422,369 = 422,369 : x
  2. Step 2: Convert to fraction form
    199,946/422,369 = 422,369/x
  3. Step 3: Cross multiply
    199,946x = 422,369 × 422,369
  4. Step 4: Simplify right side
    199,946x = 178,395,572,161
  5. Step 5: Solve for x
    x = 178,395,572,161/199,946
  6. Step 6: Final answer
    x = 892,218.76

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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.