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Finding the Third Proportional to 396,440 and 855,088

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Solution

The third proportional to 396,440 and 855,088 is: 1,844,353.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,440 : 855,088 = 855,088 : x
  2. Step 2: Convert to fraction form
    396,440/855,088 = 855,088/x
  3. Step 3: Cross multiply
    396,440x = 855,088 × 855,088
  4. Step 4: Simplify right side
    396,440x = 731,175,487,744
  5. Step 5: Solve for x
    x = 731,175,487,744/396,440
  6. Step 6: Final answer
    x = 1,844,353.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.