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Finding the Third Proportional to 9,619.50 and 20,980.50

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Solution

The third proportional to 9,619.50 and 20,980.50 is: 45,759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.50 : 20,980.50 = 20,980.50 : x
  2. Step 2: Convert to fraction form
    9,619.50/20,980.50 = 20,980.50/x
  3. Step 3: Cross multiply
    9,619.50x = 20,980.50 × 20,980.50
  4. Step 4: Simplify right side
    9,619.50x = 440,181,380.25
  5. Step 5: Solve for x
    x = 440,181,380.25/9,619.50
  6. Step 6: Final answer
    x = 45,759.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.