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Finding the Third Proportional to 446,512.50 and 640,608.75

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Solution

The third proportional to 446,512.50 and 640,608.75 is: 919,077.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,512.50 : 640,608.75 = 640,608.75 : x
  2. Step 2: Convert to fraction form
    446,512.50/640,608.75 = 640,608.75/x
  3. Step 3: Cross multiply
    446,512.50x = 640,608.75 × 640,608.75
  4. Step 4: Simplify right side
    446,512.50x = 410,379,570,576.56
  5. Step 5: Solve for x
    x = 410,379,570,576.56/446,512.50
  6. Step 6: Final answer
    x = 919,077.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.