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Finding the Third Proportional to 343,379 and 743,960

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Solution

The third proportional to 343,379 and 743,960 is: 1,611,853.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,379 : 743,960 = 743,960 : x
  2. Step 2: Convert to fraction form
    343,379/743,960 = 743,960/x
  3. Step 3: Cross multiply
    343,379x = 743,960 × 743,960
  4. Step 4: Simplify right side
    343,379x = 553,476,481,600
  5. Step 5: Solve for x
    x = 553,476,481,600/343,379
  6. Step 6: Final answer
    x = 1,611,853.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.