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Finding the Third Proportional to 7,986 and 12,831

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Solution

The third proportional to 7,986 and 12,831 is: 20,615.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986 : 12,831 = 12,831 : x
  2. Step 2: Convert to fraction form
    7,986/12,831 = 12,831/x
  3. Step 3: Cross multiply
    7,986x = 12,831 × 12,831
  4. Step 4: Simplify right side
    7,986x = 164,634,561
  5. Step 5: Solve for x
    x = 164,634,561/7,986
  6. Step 6: Final answer
    x = 20,615.40

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.