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Finding the Third Proportional to 218,122 and 325,879

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Solution

The third proportional to 218,122 and 325,879 is: 486,870.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,122 : 325,879 = 325,879 : x
  2. Step 2: Convert to fraction form
    218,122/325,879 = 325,879/x
  3. Step 3: Cross multiply
    218,122x = 325,879 × 325,879
  4. Step 4: Simplify right side
    218,122x = 106,197,122,641
  5. Step 5: Solve for x
    x = 106,197,122,641/218,122
  6. Step 6: Final answer
    x = 486,870.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.