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Finding the Third Proportional to 373,891 and 815,449

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Solution

The third proportional to 373,891 and 815,449 is: 1,778,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,891 : 815,449 = 815,449 : x
  2. Step 2: Convert to fraction form
    373,891/815,449 = 815,449/x
  3. Step 3: Cross multiply
    373,891x = 815,449 × 815,449
  4. Step 4: Simplify right side
    373,891x = 664,957,071,601
  5. Step 5: Solve for x
    x = 664,957,071,601/373,891
  6. Step 6: Final answer
    x = 1,778,478.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.