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Finding the Third Proportional to 978.25 and 2,247.75

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Solution

The third proportional to 978.25 and 2,247.75 is: 5,164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.25 : 2,247.75 = 2,247.75 : x
  2. Step 2: Convert to fraction form
    978.25/2,247.75 = 2,247.75/x
  3. Step 3: Cross multiply
    978.25x = 2,247.75 × 2,247.75
  4. Step 4: Simplify right side
    978.25x = 5,052,380.06
  5. Step 5: Solve for x
    x = 5,052,380.06/978.25
  6. Step 6: Final answer
    x = 5,164.71

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.