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Finding the Third Proportional to 259,272 and 388,914.75

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Solution

The third proportional to 259,272 and 388,914.75 is: 583,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,272 : 388,914.75 = 388,914.75 : x
  2. Step 2: Convert to fraction form
    259,272/388,914.75 = 388,914.75/x
  3. Step 3: Cross multiply
    259,272x = 388,914.75 × 388,914.75
  4. Step 4: Simplify right side
    259,272x = 151,254,682,767.56
  5. Step 5: Solve for x
    x = 151,254,682,767.56/259,272
  6. Step 6: Final answer
    x = 583,382.25

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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.