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Finding the Third Proportional to 303,810.75 and 659,380.50

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Solution

The third proportional to 303,810.75 and 659,380.50 is: 1,431,096.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,810.75 : 659,380.50 = 659,380.50 : x
  2. Step 2: Convert to fraction form
    303,810.75/659,380.50 = 659,380.50/x
  3. Step 3: Cross multiply
    303,810.75x = 659,380.50 × 659,380.50
  4. Step 4: Simplify right side
    303,810.75x = 434,782,643,780.25
  5. Step 5: Solve for x
    x = 434,782,643,780.25/303,810.75
  6. Step 6: Final answer
    x = 1,431,096.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.