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Finding the Third Proportional to 301.69 and 454.97

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Solution

The third proportional to 301.69 and 454.97 is: 686.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.69 : 454.97 = 454.97 : x
  2. Step 2: Convert to fraction form
    301.69/454.97 = 454.97/x
  3. Step 3: Cross multiply
    301.69x = 454.97 × 454.97
  4. Step 4: Simplify right side
    301.69x = 206,996.56
  5. Step 5: Solve for x
    x = 206,996.56/301.69
  6. Step 6: Final answer
    x = 686.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.