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Finding the Third Proportional to 203,423 and 443,009

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Solution

The third proportional to 203,423 and 443,009 is: 964,772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,423 : 443,009 = 443,009 : x
  2. Step 2: Convert to fraction form
    203,423/443,009 = 443,009/x
  3. Step 3: Cross multiply
    203,423x = 443,009 × 443,009
  4. Step 4: Simplify right side
    203,423x = 196,256,974,081
  5. Step 5: Solve for x
    x = 196,256,974,081/203,423
  6. Step 6: Final answer
    x = 964,772.78

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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.