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Finding the Third Proportional to 984.75 and 2,597.25

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Solution

The third proportional to 984.75 and 2,597.25 is: 6,850.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.75 : 2,597.25 = 2,597.25 : x
  2. Step 2: Convert to fraction form
    984.75/2,597.25 = 2,597.25/x
  3. Step 3: Cross multiply
    984.75x = 2,597.25 × 2,597.25
  4. Step 4: Simplify right side
    984.75x = 6,745,707.56
  5. Step 5: Solve for x
    x = 6,745,707.56/984.75
  6. Step 6: Final answer
    x = 6,850.17

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Why These Related Problems?

These problems maintain the same ratio (2.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.