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Finding the Third Proportional to 345,993 and 743,718

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Solution

The third proportional to 345,993 and 743,718 is: 1,598,634.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,993 : 743,718 = 743,718 : x
  2. Step 2: Convert to fraction form
    345,993/743,718 = 743,718/x
  3. Step 3: Cross multiply
    345,993x = 743,718 × 743,718
  4. Step 4: Simplify right side
    345,993x = 553,116,463,524
  5. Step 5: Solve for x
    x = 553,116,463,524/345,993
  6. Step 6: Final answer
    x = 1,598,634.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.