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Finding the Third Proportional to 9,142.88 and 12,233.53

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Solution

The third proportional to 9,142.88 and 12,233.53 is: 16,368.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.88 : 12,233.53 = 12,233.53 : x
  2. Step 2: Convert to fraction form
    9,142.88/12,233.53 = 12,233.53/x
  3. Step 3: Cross multiply
    9,142.88x = 12,233.53 × 12,233.53
  4. Step 4: Simplify right side
    9,142.88x = 149,659,286.84
  5. Step 5: Solve for x
    x = 149,659,286.84/9,142.88
  6. Step 6: Final answer
    x = 16,368.95

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.