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Finding the Third Proportional to 169.31 and 364.69

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Solution

The third proportional to 169.31 and 364.69 is: 785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.31 : 364.69 = 364.69 : x
  2. Step 2: Convert to fraction form
    169.31/364.69 = 364.69/x
  3. Step 3: Cross multiply
    169.31x = 364.69 × 364.69
  4. Step 4: Simplify right side
    169.31x = 132,996.97
  5. Step 5: Solve for x
    x = 132,996.97/169.31
  6. Step 6: Final answer
    x = 785.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.