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Finding the Third Proportional to 275,200.50 and 421,005

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Solution

The third proportional to 275,200.50 and 421,005 is: 644,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,200.50 : 421,005 = 421,005 : x
  2. Step 2: Convert to fraction form
    275,200.50/421,005 = 421,005/x
  3. Step 3: Cross multiply
    275,200.50x = 421,005 × 421,005
  4. Step 4: Simplify right side
    275,200.50x = 177,245,210,025
  5. Step 5: Solve for x
    x = 177,245,210,025/275,200.50
  6. Step 6: Final answer
    x = 644,058.46

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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.