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Finding the Third Proportional to 203,480 and 443,112

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Solution

The third proportional to 203,480 and 443,112 is: 964,951.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,480 : 443,112 = 443,112 : x
  2. Step 2: Convert to fraction form
    203,480/443,112 = 443,112/x
  3. Step 3: Cross multiply
    203,480x = 443,112 × 443,112
  4. Step 4: Simplify right side
    203,480x = 196,348,244,544
  5. Step 5: Solve for x
    x = 196,348,244,544/203,480
  6. Step 6: Final answer
    x = 964,951.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.