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Finding the Third Proportional to 2,333,098 and 3,336,339

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Solution

The third proportional to 2,333,098 and 3,336,339 is: 4,770,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333,098 : 3,336,339 = 3,336,339 : x
  2. Step 2: Convert to fraction form
    2,333,098/3,336,339 = 3,336,339/x
  3. Step 3: Cross multiply
    2,333,098x = 3,336,339 × 3,336,339
  4. Step 4: Simplify right side
    2,333,098x = 11,131,157,922,921
  5. Step 5: Solve for x
    x = 11,131,157,922,921/2,333,098
  6. Step 6: Final answer
    x = 4,770,977.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.