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Finding the Third Proportional to 9,233.25 and 13,847.25

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Solution

The third proportional to 9,233.25 and 13,847.25 is: 20,766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.25 : 13,847.25 = 13,847.25 : x
  2. Step 2: Convert to fraction form
    9,233.25/13,847.25 = 13,847.25/x
  3. Step 3: Cross multiply
    9,233.25x = 13,847.25 × 13,847.25
  4. Step 4: Simplify right side
    9,233.25x = 191,746,332.56
  5. Step 5: Solve for x
    x = 191,746,332.56/9,233.25
  6. Step 6: Final answer
    x = 20,766.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.