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Finding the Third Proportional to 605.75 and 1,284.19

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Solution

The third proportional to 605.75 and 1,284.19 is: 2,722.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.75 : 1,284.19 = 1,284.19 : x
  2. Step 2: Convert to fraction form
    605.75/1,284.19 = 1,284.19/x
  3. Step 3: Cross multiply
    605.75x = 1,284.19 × 1,284.19
  4. Step 4: Simplify right side
    605.75x = 1,649,137.54
  5. Step 5: Solve for x
    x = 1,649,137.54/605.75
  6. Step 6: Final answer
    x = 2,722.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.