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Finding the Third Proportional to 1,968.75 and 2,756.25

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Solution

The third proportional to 1,968.75 and 2,756.25 is: 3,858.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.75 : 2,756.25 = 2,756.25 : x
  2. Step 2: Convert to fraction form
    1,968.75/2,756.25 = 2,756.25/x
  3. Step 3: Cross multiply
    1,968.75x = 2,756.25 × 2,756.25
  4. Step 4: Simplify right side
    1,968.75x = 7,596,914.06
  5. Step 5: Solve for x
    x = 7,596,914.06/1,968.75
  6. Step 6: Final answer
    x = 3,858.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.