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Finding the Third Proportional to 275,209.50 and 421,020.75

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Solution

The third proportional to 275,209.50 and 421,020.75 is: 644,085.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,209.50 : 421,020.75 = 421,020.75 : x
  2. Step 2: Convert to fraction form
    275,209.50/421,020.75 = 421,020.75/x
  3. Step 3: Cross multiply
    275,209.50x = 421,020.75 × 421,020.75
  4. Step 4: Simplify right side
    275,209.50x = 177,258,471,930.56
  5. Step 5: Solve for x
    x = 177,258,471,930.56/275,209.50
  6. Step 6: Final answer
    x = 644,085.59

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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.