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Finding the Third Proportional to 309.94 and 668.81

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Solution

The third proportional to 309.94 and 668.81 is: 1,443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.94 : 668.81 = 668.81 : x
  2. Step 2: Convert to fraction form
    309.94/668.81 = 668.81/x
  3. Step 3: Cross multiply
    309.94x = 668.81 × 668.81
  4. Step 4: Simplify right side
    309.94x = 447,310.16
  5. Step 5: Solve for x
    x = 447,310.16/309.94
  6. Step 6: Final answer
    x = 1,443.23

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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.