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Finding the Third Proportional to 396,480 and 848,256

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Solution

The third proportional to 396,480 and 848,256 is: 1,814,815.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,480 : 848,256 = 848,256 : x
  2. Step 2: Convert to fraction form
    396,480/848,256 = 848,256/x
  3. Step 3: Cross multiply
    396,480x = 848,256 × 848,256
  4. Step 4: Simplify right side
    396,480x = 719,538,241,536
  5. Step 5: Solve for x
    x = 719,538,241,536/396,480
  6. Step 6: Final answer
    x = 1,814,815.98

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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.