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Finding the Third Proportional to 6,689 and 14,243

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Solution

The third proportional to 6,689 and 14,243 is: 30,327.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689 : 14,243 = 14,243 : x
  2. Step 2: Convert to fraction form
    6,689/14,243 = 14,243/x
  3. Step 3: Cross multiply
    6,689x = 14,243 × 14,243
  4. Step 4: Simplify right side
    6,689x = 202,863,049
  5. Step 5: Solve for x
    x = 202,863,049/6,689
  6. Step 6: Final answer
    x = 30,327.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.