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Finding the Third Proportional to 308,455 and 743,079

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Solution

The third proportional to 308,455 and 743,079 is: 1,790,103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,455 : 743,079 = 743,079 : x
  2. Step 2: Convert to fraction form
    308,455/743,079 = 743,079/x
  3. Step 3: Cross multiply
    308,455x = 743,079 × 743,079
  4. Step 4: Simplify right side
    308,455x = 552,166,400,241
  5. Step 5: Solve for x
    x = 552,166,400,241/308,455
  6. Step 6: Final answer
    x = 1,790,103.58

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.