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Finding the Third Proportional to 222,880 and 325,785

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Solution

The third proportional to 222,880 and 325,785 is: 476,201.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,880 : 325,785 = 325,785 : x
  2. Step 2: Convert to fraction form
    222,880/325,785 = 325,785/x
  3. Step 3: Cross multiply
    222,880x = 325,785 × 325,785
  4. Step 4: Simplify right side
    222,880x = 106,135,866,225
  5. Step 5: Solve for x
    x = 106,135,866,225/222,880
  6. Step 6: Final answer
    x = 476,201.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.