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Finding the Third Proportional to 258,512.25 and 388,041.75

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Solution

The third proportional to 258,512.25 and 388,041.75 is: 582,472.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,512.25 : 388,041.75 = 388,041.75 : x
  2. Step 2: Convert to fraction form
    258,512.25/388,041.75 = 388,041.75/x
  3. Step 3: Cross multiply
    258,512.25x = 388,041.75 × 388,041.75
  4. Step 4: Simplify right side
    258,512.25x = 150,576,399,743.06
  5. Step 5: Solve for x
    x = 150,576,399,743.06/258,512.25
  6. Step 6: Final answer
    x = 582,472.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.