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Finding the Third Proportional to 137 and 301.75

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Solution

The third proportional to 137 and 301.75 is: 664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137 : 301.75 = 301.75 : x
  2. Step 2: Convert to fraction form
    137/301.75 = 301.75/x
  3. Step 3: Cross multiply
    137x = 301.75 × 301.75
  4. Step 4: Simplify right side
    137x = 91,053.06
  5. Step 5: Solve for x
    x = 91,053.06/137
  6. Step 6: Final answer
    x = 664.62

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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.