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Finding the Third Proportional to 919.69 and 1,986.05

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Solution

The third proportional to 919.69 and 1,986.05 is: 4,288.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.69 : 1,986.05 = 1,986.05 : x
  2. Step 2: Convert to fraction form
    919.69/1,986.05 = 1,986.05/x
  3. Step 3: Cross multiply
    919.69x = 1,986.05 × 1,986.05
  4. Step 4: Simplify right side
    919.69x = 3,944,382.19
  5. Step 5: Solve for x
    x = 3,944,382.19/919.69
  6. Step 6: Final answer
    x = 4,288.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.