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Finding the Third Proportional to 1,993 and 2,912

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Solution

The third proportional to 1,993 and 2,912 is: 4,254.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993 : 2,912 = 2,912 : x
  2. Step 2: Convert to fraction form
    1,993/2,912 = 2,912/x
  3. Step 3: Cross multiply
    1,993x = 2,912 × 2,912
  4. Step 4: Simplify right side
    1,993x = 8,479,744
  5. Step 5: Solve for x
    x = 8,479,744/1,993
  6. Step 6: Final answer
    x = 4,254.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.