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Finding the Third Proportional to 31,993 and 68,845

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Solution

The third proportional to 31,993 and 68,845 is: 148,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,993 : 68,845 = 68,845 : x
  2. Step 2: Convert to fraction form
    31,993/68,845 = 68,845/x
  3. Step 3: Cross multiply
    31,993x = 68,845 × 68,845
  4. Step 4: Simplify right side
    31,993x = 4,739,634,025
  5. Step 5: Solve for x
    x = 4,739,634,025/31,993
  6. Step 6: Final answer
    x = 148,145.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.