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Finding the Third Proportional to 308.63 and 668.48

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Solution

The third proportional to 308.63 and 668.48 is: 1,447.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.63 : 668.48 = 668.48 : x
  2. Step 2: Convert to fraction form
    308.63/668.48 = 668.48/x
  3. Step 3: Cross multiply
    308.63x = 668.48 × 668.48
  4. Step 4: Simplify right side
    308.63x = 446,871.36
  5. Step 5: Solve for x
    x = 446,871.36/308.63
  6. Step 6: Final answer
    x = 1,447.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.