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Finding the Third Proportional to 91,405 and 203,815

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Solution

The third proportional to 91,405 and 203,815 is: 454,466.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,405 : 203,815 = 203,815 : x
  2. Step 2: Convert to fraction form
    91,405/203,815 = 203,815/x
  3. Step 3: Cross multiply
    91,405x = 203,815 × 203,815
  4. Step 4: Simplify right side
    91,405x = 41,540,554,225
  5. Step 5: Solve for x
    x = 41,540,554,225/91,405
  6. Step 6: Final answer
    x = 454,466.98

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.