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Finding the Third Proportional to 8,427 and 12,321

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Solution

The third proportional to 8,427 and 12,321 is: 18,014.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427 : 12,321 = 12,321 : x
  2. Step 2: Convert to fraction form
    8,427/12,321 = 12,321/x
  3. Step 3: Cross multiply
    8,427x = 12,321 × 12,321
  4. Step 4: Simplify right side
    8,427x = 151,807,041
  5. Step 5: Solve for x
    x = 151,807,041/8,427
  6. Step 6: Final answer
    x = 18,014.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.