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Finding the Third Proportional to 127.25 and 144.50

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Solution

The third proportional to 127.25 and 144.50 is: 164.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.25 : 144.50 = 144.50 : x
  2. Step 2: Convert to fraction form
    127.25/144.50 = 144.50/x
  3. Step 3: Cross multiply
    127.25x = 144.50 × 144.50
  4. Step 4: Simplify right side
    127.25x = 20,880.25
  5. Step 5: Solve for x
    x = 20,880.25/127.25
  6. Step 6: Final answer
    x = 164.09

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.