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Finding the Third Proportional to 398,923 and 853,884

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Solution

The third proportional to 398,923 and 853,884 is: 1,827,715.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,923 : 853,884 = 853,884 : x
  2. Step 2: Convert to fraction form
    398,923/853,884 = 853,884/x
  3. Step 3: Cross multiply
    398,923x = 853,884 × 853,884
  4. Step 4: Simplify right side
    398,923x = 729,117,885,456
  5. Step 5: Solve for x
    x = 729,117,885,456/398,923
  6. Step 6: Final answer
    x = 1,827,715.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.