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Finding the Third Proportional to 338,907 and 730,329

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Solution

The third proportional to 338,907 and 730,329 is: 1,573,825.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,907 : 730,329 = 730,329 : x
  2. Step 2: Convert to fraction form
    338,907/730,329 = 730,329/x
  3. Step 3: Cross multiply
    338,907x = 730,329 × 730,329
  4. Step 4: Simplify right side
    338,907x = 533,380,448,241
  5. Step 5: Solve for x
    x = 533,380,448,241/338,907
  6. Step 6: Final answer
    x = 1,573,825.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.