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Finding the Third Proportional to 172.75 and 242.25

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Solution

The third proportional to 172.75 and 242.25 is: 339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.75 : 242.25 = 242.25 : x
  2. Step 2: Convert to fraction form
    172.75/242.25 = 242.25/x
  3. Step 3: Cross multiply
    172.75x = 242.25 × 242.25
  4. Step 4: Simplify right side
    172.75x = 58,685.06
  5. Step 5: Solve for x
    x = 58,685.06/172.75
  6. Step 6: Final answer
    x = 339.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.