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Finding the Third Proportional to 397,796 and 859,137

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Solution

The third proportional to 397,796 and 859,137 is: 1,855,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,796 : 859,137 = 859,137 : x
  2. Step 2: Convert to fraction form
    397,796/859,137 = 859,137/x
  3. Step 3: Cross multiply
    397,796x = 859,137 × 859,137
  4. Step 4: Simplify right side
    397,796x = 738,116,384,769
  5. Step 5: Solve for x
    x = 738,116,384,769/397,796
  6. Step 6: Final answer
    x = 1,855,514.85

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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.