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Finding the Third Proportional to 7,146.50 and 10,993

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Solution

The third proportional to 7,146.50 and 10,993 is: 16,909.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.50 : 10,993 = 10,993 : x
  2. Step 2: Convert to fraction form
    7,146.50/10,993 = 10,993/x
  3. Step 3: Cross multiply
    7,146.50x = 10,993 × 10,993
  4. Step 4: Simplify right side
    7,146.50x = 120,846,049
  5. Step 5: Solve for x
    x = 120,846,049/7,146.50
  6. Step 6: Final answer
    x = 16,909.82

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.