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Finding the Third Proportional to 279,535.50 and 372,431.25

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Solution

The third proportional to 279,535.50 and 372,431.25 is: 496,198.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,535.50 : 372,431.25 = 372,431.25 : x
  2. Step 2: Convert to fraction form
    279,535.50/372,431.25 = 372,431.25/x
  3. Step 3: Cross multiply
    279,535.50x = 372,431.25 × 372,431.25
  4. Step 4: Simplify right side
    279,535.50x = 138,705,035,976.56
  5. Step 5: Solve for x
    x = 138,705,035,976.56/279,535.50
  6. Step 6: Final answer
    x = 496,198.29

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.