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Finding the Third Proportional to 9,111.75 and 13,620

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Solution

The third proportional to 9,111.75 and 13,620 is: 20,358.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.75 : 13,620 = 13,620 : x
  2. Step 2: Convert to fraction form
    9,111.75/13,620 = 13,620/x
  3. Step 3: Cross multiply
    9,111.75x = 13,620 × 13,620
  4. Step 4: Simplify right side
    9,111.75x = 185,504,400
  5. Step 5: Solve for x
    x = 185,504,400/9,111.75
  6. Step 6: Final answer
    x = 20,358.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.