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Finding the Third Proportional to 203,218 and 445,180

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Solution

The third proportional to 203,218 and 445,180 is: 975,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,218 : 445,180 = 445,180 : x
  2. Step 2: Convert to fraction form
    203,218/445,180 = 445,180/x
  3. Step 3: Cross multiply
    203,218x = 445,180 × 445,180
  4. Step 4: Simplify right side
    203,218x = 198,185,232,400
  5. Step 5: Solve for x
    x = 198,185,232,400/203,218
  6. Step 6: Final answer
    x = 975,234.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.