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Finding the Third Proportional to 1,991 and 2,787

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Solution

The third proportional to 1,991 and 2,787 is: 3,901.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991 : 2,787 = 2,787 : x
  2. Step 2: Convert to fraction form
    1,991/2,787 = 2,787/x
  3. Step 3: Cross multiply
    1,991x = 2,787 × 2,787
  4. Step 4: Simplify right side
    1,991x = 7,767,369
  5. Step 5: Solve for x
    x = 7,767,369/1,991
  6. Step 6: Final answer
    x = 3,901.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.