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Finding the Third Proportional to 73.09 and 160.73

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Solution

The third proportional to 73.09 and 160.73 is: 353.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.09 : 160.73 = 160.73 : x
  2. Step 2: Convert to fraction form
    73.09/160.73 = 160.73/x
  3. Step 3: Cross multiply
    73.09x = 160.73 × 160.73
  4. Step 4: Simplify right side
    73.09x = 25,835.54
  5. Step 5: Solve for x
    x = 25,835.54/73.09
  6. Step 6: Final answer
    x = 353.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.