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Finding the Third Proportional to 397,824 and 859,188

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Solution

The third proportional to 397,824 and 859,188 is: 1,855,604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,824 : 859,188 = 859,188 : x
  2. Step 2: Convert to fraction form
    397,824/859,188 = 859,188/x
  3. Step 3: Cross multiply
    397,824x = 859,188 × 859,188
  4. Step 4: Simplify right side
    397,824x = 738,204,019,344
  5. Step 5: Solve for x
    x = 738,204,019,344/397,824
  6. Step 6: Final answer
    x = 1,855,604.54

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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.