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Finding the Third Proportional to 137 and 245.25

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Solution

The third proportional to 137 and 245.25 is: 439.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137 : 245.25 = 245.25 : x
  2. Step 2: Convert to fraction form
    137/245.25 = 245.25/x
  3. Step 3: Cross multiply
    137x = 245.25 × 245.25
  4. Step 4: Simplify right side
    137x = 60,147.56
  5. Step 5: Solve for x
    x = 60,147.56/137
  6. Step 6: Final answer
    x = 439.03

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.