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Finding the Third Proportional to 4,425.75 and 9,535.50

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Solution

The third proportional to 4,425.75 and 9,535.50 is: 20,544.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,425.75 : 9,535.50 = 9,535.50 : x
  2. Step 2: Convert to fraction form
    4,425.75/9,535.50 = 9,535.50/x
  3. Step 3: Cross multiply
    4,425.75x = 9,535.50 × 9,535.50
  4. Step 4: Simplify right side
    4,425.75x = 90,925,760.25
  5. Step 5: Solve for x
    x = 90,925,760.25/4,425.75
  6. Step 6: Final answer
    x = 20,544.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.