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Finding the Third Proportional to 9,790.25 and 19,087.50

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Solution

The third proportional to 9,790.25 and 19,087.50 is: 37,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.25 : 19,087.50 = 19,087.50 : x
  2. Step 2: Convert to fraction form
    9,790.25/19,087.50 = 19,087.50/x
  3. Step 3: Cross multiply
    9,790.25x = 19,087.50 × 19,087.50
  4. Step 4: Simplify right side
    9,790.25x = 364,332,656.25
  5. Step 5: Solve for x
    x = 364,332,656.25/9,790.25
  6. Step 6: Final answer
    x = 37,213.83

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.