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Finding the Third Proportional to 1,691 and 3,911

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Solution

The third proportional to 1,691 and 3,911 is: 9,045.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691 : 3,911 = 3,911 : x
  2. Step 2: Convert to fraction form
    1,691/3,911 = 3,911/x
  3. Step 3: Cross multiply
    1,691x = 3,911 × 3,911
  4. Step 4: Simplify right side
    1,691x = 15,295,921
  5. Step 5: Solve for x
    x = 15,295,921/1,691
  6. Step 6: Final answer
    x = 9,045.49

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.