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Finding the Third Proportional to 218,126 and 325,885

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Solution

The third proportional to 218,126 and 325,885 is: 486,879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,126 : 325,885 = 325,885 : x
  2. Step 2: Convert to fraction form
    218,126/325,885 = 325,885/x
  3. Step 3: Cross multiply
    218,126x = 325,885 × 325,885
  4. Step 4: Simplify right side
    218,126x = 106,201,033,225
  5. Step 5: Solve for x
    x = 106,201,033,225/218,126
  6. Step 6: Final answer
    x = 486,879.30

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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.