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Finding the Third Proportional to 13,728.75 and 17,784.75

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Solution

The third proportional to 13,728.75 and 17,784.75 is: 23,039.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.75 : 17,784.75 = 17,784.75 : x
  2. Step 2: Convert to fraction form
    13,728.75/17,784.75 = 17,784.75/x
  3. Step 3: Cross multiply
    13,728.75x = 17,784.75 × 17,784.75
  4. Step 4: Simplify right side
    13,728.75x = 316,297,332.56
  5. Step 5: Solve for x
    x = 316,297,332.56/13,728.75
  6. Step 6: Final answer
    x = 23,039.05

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.