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Finding the Third Proportional to 343,485 and 747,990

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Solution

The third proportional to 343,485 and 747,990 is: 1,628,860.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,485 : 747,990 = 747,990 : x
  2. Step 2: Convert to fraction form
    343,485/747,990 = 747,990/x
  3. Step 3: Cross multiply
    343,485x = 747,990 × 747,990
  4. Step 4: Simplify right side
    343,485x = 559,489,040,100
  5. Step 5: Solve for x
    x = 559,489,040,100/343,485
  6. Step 6: Final answer
    x = 1,628,860.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.