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Finding the Third Proportional to 311,489 and 487,993

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Solution

The third proportional to 311,489 and 487,993 is: 764,512.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,489 : 487,993 = 487,993 : x
  2. Step 2: Convert to fraction form
    311,489/487,993 = 487,993/x
  3. Step 3: Cross multiply
    311,489x = 487,993 × 487,993
  4. Step 4: Simplify right side
    311,489x = 238,137,168,049
  5. Step 5: Solve for x
    x = 238,137,168,049/311,489
  6. Step 6: Final answer
    x = 764,512.29

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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.