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Finding the Third Proportional to 301.64 and 661.97

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Solution

The third proportional to 301.64 and 661.97 is: 1,452.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.64 : 661.97 = 661.97 : x
  2. Step 2: Convert to fraction form
    301.64/661.97 = 661.97/x
  3. Step 3: Cross multiply
    301.64x = 661.97 × 661.97
  4. Step 4: Simplify right side
    301.64x = 438,202.63
  5. Step 5: Solve for x
    x = 438,202.63/301.64
  6. Step 6: Final answer
    x = 1,452.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.