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Finding the Third Proportional to 275,944 and 421,936

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Solution

The third proportional to 275,944 and 421,936 is: 645,167.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,944 : 421,936 = 421,936 : x
  2. Step 2: Convert to fraction form
    275,944/421,936 = 421,936/x
  3. Step 3: Cross multiply
    275,944x = 421,936 × 421,936
  4. Step 4: Simplify right side
    275,944x = 178,029,988,096
  5. Step 5: Solve for x
    x = 178,029,988,096/275,944
  6. Step 6: Final answer
    x = 645,167.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.