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Finding the Third Proportional to 337,976 and 734,344

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Solution

The third proportional to 337,976 and 734,344 is: 1,595,560.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,976 : 734,344 = 734,344 : x
  2. Step 2: Convert to fraction form
    337,976/734,344 = 734,344/x
  3. Step 3: Cross multiply
    337,976x = 734,344 × 734,344
  4. Step 4: Simplify right side
    337,976x = 539,261,110,336
  5. Step 5: Solve for x
    x = 539,261,110,336/337,976
  6. Step 6: Final answer
    x = 1,595,560.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.