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Finding the Third Proportional to 13,911 and 27,120

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Solution

The third proportional to 13,911 and 27,120 is: 52,871.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911 : 27,120 = 27,120 : x
  2. Step 2: Convert to fraction form
    13,911/27,120 = 27,120/x
  3. Step 3: Cross multiply
    13,911x = 27,120 × 27,120
  4. Step 4: Simplify right side
    13,911x = 735,494,400
  5. Step 5: Solve for x
    x = 735,494,400/13,911
  6. Step 6: Final answer
    x = 52,871.43

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.