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Finding the Third Proportional to 104,936 and 224,843.50

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Solution

The third proportional to 104,936 and 224,843.50 is: 481,766.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,936 : 224,843.50 = 224,843.50 : x
  2. Step 2: Convert to fraction form
    104,936/224,843.50 = 224,843.50/x
  3. Step 3: Cross multiply
    104,936x = 224,843.50 × 224,843.50
  4. Step 4: Simplify right side
    104,936x = 50,554,599,492.25
  5. Step 5: Solve for x
    x = 50,554,599,492.25/104,936
  6. Step 6: Final answer
    x = 481,766.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.