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Finding the Third Proportional to 1,991 and 3,167.50

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Solution

The third proportional to 1,991 and 3,167.50 is: 5,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991 : 3,167.50 = 3,167.50 : x
  2. Step 2: Convert to fraction form
    1,991/3,167.50 = 3,167.50/x
  3. Step 3: Cross multiply
    1,991x = 3,167.50 × 3,167.50
  4. Step 4: Simplify right side
    1,991x = 10,033,056.25
  5. Step 5: Solve for x
    x = 10,033,056.25/1,991
  6. Step 6: Final answer
    x = 5,039.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.