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Finding the Third Proportional to 13,906 and 15,911

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Solution

The third proportional to 13,906 and 15,911 is: 18,205.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906 : 15,911 = 15,911 : x
  2. Step 2: Convert to fraction form
    13,906/15,911 = 15,911/x
  3. Step 3: Cross multiply
    13,906x = 15,911 × 15,911
  4. Step 4: Simplify right side
    13,906x = 253,159,921
  5. Step 5: Solve for x
    x = 253,159,921/13,906
  6. Step 6: Final answer
    x = 18,205.09

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.