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Finding the Third Proportional to 1,918.69 and 3,969.84

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Solution

The third proportional to 1,918.69 and 3,969.84 is: 8,213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.69 : 3,969.84 = 3,969.84 : x
  2. Step 2: Convert to fraction form
    1,918.69/3,969.84 = 3,969.84/x
  3. Step 3: Cross multiply
    1,918.69x = 3,969.84 × 3,969.84
  4. Step 4: Simplify right side
    1,918.69x = 15,759,659.40
  5. Step 5: Solve for x
    x = 15,759,659.40/1,918.69
  6. Step 6: Final answer
    x = 8,213.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.