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Finding the Third Proportional to 137.50 and 239.25

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Solution

The third proportional to 137.50 and 239.25 is: 416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.50 : 239.25 = 239.25 : x
  2. Step 2: Convert to fraction form
    137.50/239.25 = 239.25/x
  3. Step 3: Cross multiply
    137.50x = 239.25 × 239.25
  4. Step 4: Simplify right side
    137.50x = 57,240.56
  5. Step 5: Solve for x
    x = 57,240.56/137.50
  6. Step 6: Final answer
    x = 416.30

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.