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Finding the Third Proportional to 311,487.75 and 487,991.25

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Solution

The third proportional to 311,487.75 and 487,991.25 is: 764,509.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,487.75 : 487,991.25 = 487,991.25 : x
  2. Step 2: Convert to fraction form
    311,487.75/487,991.25 = 487,991.25/x
  3. Step 3: Cross multiply
    311,487.75x = 487,991.25 × 487,991.25
  4. Step 4: Simplify right side
    311,487.75x = 238,135,460,076.56
  5. Step 5: Solve for x
    x = 238,135,460,076.56/311,487.75
  6. Step 6: Final answer
    x = 764,509.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.