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Finding the Third Proportional to 275,232.75 and 421,056.75

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Solution

The third proportional to 275,232.75 and 421,056.75 is: 644,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,232.75 : 421,056.75 = 421,056.75 : x
  2. Step 2: Convert to fraction form
    275,232.75/421,056.75 = 421,056.75/x
  3. Step 3: Cross multiply
    275,232.75x = 421,056.75 × 421,056.75
  4. Step 4: Simplify right side
    275,232.75x = 177,288,786,720.56
  5. Step 5: Solve for x
    x = 177,288,786,720.56/275,232.75
  6. Step 6: Final answer
    x = 644,141.32

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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.