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Finding the Third Proportional to 205,911 and 451,188

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Solution

The third proportional to 205,911 and 451,188 is: 988,633.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,911 : 451,188 = 451,188 : x
  2. Step 2: Convert to fraction form
    205,911/451,188 = 451,188/x
  3. Step 3: Cross multiply
    205,911x = 451,188 × 451,188
  4. Step 4: Simplify right side
    205,911x = 203,570,611,344
  5. Step 5: Solve for x
    x = 203,570,611,344/205,911
  6. Step 6: Final answer
    x = 988,633.98

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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.