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Finding the Third Proportional to 338,276 and 743,512

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Solution

The third proportional to 338,276 and 743,512 is: 1,634,198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,276 : 743,512 = 743,512 : x
  2. Step 2: Convert to fraction form
    338,276/743,512 = 743,512/x
  3. Step 3: Cross multiply
    338,276x = 743,512 × 743,512
  4. Step 4: Simplify right side
    338,276x = 552,810,094,144
  5. Step 5: Solve for x
    x = 552,810,094,144/338,276
  6. Step 6: Final answer
    x = 1,634,198.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.