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Finding the Third Proportional to 190,727.25 and 280,251.75

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Solution

The third proportional to 190,727.25 and 280,251.75 is: 411,797.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,727.25 : 280,251.75 = 280,251.75 : x
  2. Step 2: Convert to fraction form
    190,727.25/280,251.75 = 280,251.75/x
  3. Step 3: Cross multiply
    190,727.25x = 280,251.75 × 280,251.75
  4. Step 4: Simplify right side
    190,727.25x = 78,541,043,378.06
  5. Step 5: Solve for x
    x = 78,541,043,378.06/190,727.25
  6. Step 6: Final answer
    x = 411,797.70

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.