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Finding the Third Proportional to 919.25 and 1,975.75

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Solution

The third proportional to 919.25 and 1,975.75 is: 4,246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.25 : 1,975.75 = 1,975.75 : x
  2. Step 2: Convert to fraction form
    919.25/1,975.75 = 1,975.75/x
  3. Step 3: Cross multiply
    919.25x = 1,975.75 × 1,975.75
  4. Step 4: Simplify right side
    919.25x = 3,903,588.06
  5. Step 5: Solve for x
    x = 3,903,588.06/919.25
  6. Step 6: Final answer
    x = 4,246.49

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Why These Related Problems?

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