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Finding the Third Proportional to 396,072 and 855,280

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Solution

The third proportional to 396,072 and 855,280 is: 1,846,896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,072 : 855,280 = 855,280 : x
  2. Step 2: Convert to fraction form
    396,072/855,280 = 855,280/x
  3. Step 3: Cross multiply
    396,072x = 855,280 × 855,280
  4. Step 4: Simplify right side
    396,072x = 731,503,878,400
  5. Step 5: Solve for x
    x = 731,503,878,400/396,072
  6. Step 6: Final answer
    x = 1,846,896.22

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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.