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Finding the Third Proportional to 172.76 and 270.53

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Solution

The third proportional to 172.76 and 270.53 is: 423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.76 : 270.53 = 270.53 : x
  2. Step 2: Convert to fraction form
    172.76/270.53 = 270.53/x
  3. Step 3: Cross multiply
    172.76x = 270.53 × 270.53
  4. Step 4: Simplify right side
    172.76x = 73,185.04
  5. Step 5: Solve for x
    x = 73,185.04/172.76
  6. Step 6: Final answer
    x = 423.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.