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Finding the Third Proportional to 275,855 and 421,800

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Solution

The third proportional to 275,855 and 421,800 is: 644,959.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,855 : 421,800 = 421,800 : x
  2. Step 2: Convert to fraction form
    275,855/421,800 = 421,800/x
  3. Step 3: Cross multiply
    275,855x = 421,800 × 421,800
  4. Step 4: Simplify right side
    275,855x = 177,915,240,000
  5. Step 5: Solve for x
    x = 177,915,240,000/275,855
  6. Step 6: Final answer
    x = 644,959.27

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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.