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Finding the Third Proportional to 275,693.63 and 421,650.56

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Solution

The third proportional to 275,693.63 and 421,650.56 is: 644,879.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,693.63 : 421,650.56 = 421,650.56 : x
  2. Step 2: Convert to fraction form
    275,693.63/421,650.56 = 421,650.56/x
  3. Step 3: Cross multiply
    275,693.63x = 421,650.56 × 421,650.56
  4. Step 4: Simplify right side
    275,693.63x = 177,789,196,856.57
  5. Step 5: Solve for x
    x = 177,789,196,856.57/275,693.63
  6. Step 6: Final answer
    x = 644,879.61

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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.