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Finding the Third Proportional to 325,962 and 518,643

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Solution

The third proportional to 325,962 and 518,643 is: 825,220.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,962 : 518,643 = 518,643 : x
  2. Step 2: Convert to fraction form
    325,962/518,643 = 518,643/x
  3. Step 3: Cross multiply
    325,962x = 518,643 × 518,643
  4. Step 4: Simplify right side
    325,962x = 268,990,561,449
  5. Step 5: Solve for x
    x = 268,990,561,449/325,962
  6. Step 6: Final answer
    x = 825,220.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.