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Finding the Third Proportional to 8,135 and 11,311

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Solution

The third proportional to 8,135 and 11,311 is: 15,726.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135 : 11,311 = 11,311 : x
  2. Step 2: Convert to fraction form
    8,135/11,311 = 11,311/x
  3. Step 3: Cross multiply
    8,135x = 11,311 × 11,311
  4. Step 4: Simplify right side
    8,135x = 127,938,721
  5. Step 5: Solve for x
    x = 127,938,721/8,135
  6. Step 6: Final answer
    x = 15,726.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.