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Finding the Third Proportional to 338,504 and 729,907

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Solution

The third proportional to 338,504 and 729,907 is: 1,573,878.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,504 : 729,907 = 729,907 : x
  2. Step 2: Convert to fraction form
    338,504/729,907 = 729,907/x
  3. Step 3: Cross multiply
    338,504x = 729,907 × 729,907
  4. Step 4: Simplify right side
    338,504x = 532,764,228,649
  5. Step 5: Solve for x
    x = 532,764,228,649/338,504
  6. Step 6: Final answer
    x = 1,573,878.68

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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.