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Finding the Third Proportional to 396,072 and 855,276.75

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Solution

The third proportional to 396,072 and 855,276.75 is: 1,846,882.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,072 : 855,276.75 = 855,276.75 : x
  2. Step 2: Convert to fraction form
    396,072/855,276.75 = 855,276.75/x
  3. Step 3: Cross multiply
    396,072x = 855,276.75 × 855,276.75
  4. Step 4: Simplify right side
    396,072x = 731,498,319,090.56
  5. Step 5: Solve for x
    x = 731,498,319,090.56/396,072
  6. Step 6: Final answer
    x = 1,846,882.18

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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.