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Finding the Third Proportional to 325,980 and 518,697

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Solution

The third proportional to 325,980 and 518,697 is: 825,346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,980 : 518,697 = 518,697 : x
  2. Step 2: Convert to fraction form
    325,980/518,697 = 518,697/x
  3. Step 3: Cross multiply
    325,980x = 518,697 × 518,697
  4. Step 4: Simplify right side
    325,980x = 269,046,577,809
  5. Step 5: Solve for x
    x = 269,046,577,809/325,980
  6. Step 6: Final answer
    x = 825,346.89

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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.