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Finding the Third Proportional to 356,636 and 743,161

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Solution

The third proportional to 356,636 and 743,161 is: 1,548,604.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,636 : 743,161 = 743,161 : x
  2. Step 2: Convert to fraction form
    356,636/743,161 = 743,161/x
  3. Step 3: Cross multiply
    356,636x = 743,161 × 743,161
  4. Step 4: Simplify right side
    356,636x = 552,288,271,921
  5. Step 5: Solve for x
    x = 552,288,271,921/356,636
  6. Step 6: Final answer
    x = 1,548,604.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.