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Finding the Third Proportional to 10,928.25 and 19,203.75

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Solution

The third proportional to 10,928.25 and 19,203.75 is: 33,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,928.25 : 19,203.75 = 19,203.75 : x
  2. Step 2: Convert to fraction form
    10,928.25/19,203.75 = 19,203.75/x
  3. Step 3: Cross multiply
    10,928.25x = 19,203.75 × 19,203.75
  4. Step 4: Simplify right side
    10,928.25x = 368,784,014.06
  5. Step 5: Solve for x
    x = 368,784,014.06/10,928.25
  6. Step 6: Final answer
    x = 33,745.93

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.