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Finding the Third Proportional to 203,911 and 449,294

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Solution

The third proportional to 203,911 and 449,294 is: 989,966.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,911 : 449,294 = 449,294 : x
  2. Step 2: Convert to fraction form
    203,911/449,294 = 449,294/x
  3. Step 3: Cross multiply
    203,911x = 449,294 × 449,294
  4. Step 4: Simplify right side
    203,911x = 201,865,098,436
  5. Step 5: Solve for x
    x = 201,865,098,436/203,911
  6. Step 6: Final answer
    x = 989,966.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.