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Finding the Third Proportional to 8,258 and 11,771

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Solution

The third proportional to 8,258 and 11,771 is: 16,778.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258 : 11,771 = 11,771 : x
  2. Step 2: Convert to fraction form
    8,258/11,771 = 11,771/x
  3. Step 3: Cross multiply
    8,258x = 11,771 × 11,771
  4. Step 4: Simplify right side
    8,258x = 138,556,441
  5. Step 5: Solve for x
    x = 138,556,441/8,258
  6. Step 6: Final answer
    x = 16,778.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.