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Finding the Third Proportional to 13,286 and 26,977

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Solution

The third proportional to 13,286 and 26,977 is: 54,776.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,286 : 26,977 = 26,977 : x
  2. Step 2: Convert to fraction form
    13,286/26,977 = 26,977/x
  3. Step 3: Cross multiply
    13,286x = 26,977 × 26,977
  4. Step 4: Simplify right side
    13,286x = 727,758,529
  5. Step 5: Solve for x
    x = 727,758,529/13,286
  6. Step 6: Final answer
    x = 54,776.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.