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Finding the Third Proportional to 94,096 and 201,836

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Solution

The third proportional to 94,096 and 201,836 is: 432,938.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,096 : 201,836 = 201,836 : x
  2. Step 2: Convert to fraction form
    94,096/201,836 = 201,836/x
  3. Step 3: Cross multiply
    94,096x = 201,836 × 201,836
  4. Step 4: Simplify right side
    94,096x = 40,737,770,896
  5. Step 5: Solve for x
    x = 40,737,770,896/94,096
  6. Step 6: Final answer
    x = 432,938.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.