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Finding the Third Proportional to 8,239 and 12,743

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Solution

The third proportional to 8,239 and 12,743 is: 19,709.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239 : 12,743 = 12,743 : x
  2. Step 2: Convert to fraction form
    8,239/12,743 = 12,743/x
  3. Step 3: Cross multiply
    8,239x = 12,743 × 12,743
  4. Step 4: Simplify right side
    8,239x = 162,384,049
  5. Step 5: Solve for x
    x = 162,384,049/8,239
  6. Step 6: Final answer
    x = 19,709.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.