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Finding the Third Proportional to 172.41 and 371.53

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Solution

The third proportional to 172.41 and 371.53 is: 800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.41 : 371.53 = 371.53 : x
  2. Step 2: Convert to fraction form
    172.41/371.53 = 371.53/x
  3. Step 3: Cross multiply
    172.41x = 371.53 × 371.53
  4. Step 4: Simplify right side
    172.41x = 138,035.47
  5. Step 5: Solve for x
    x = 138,035.47/172.41
  6. Step 6: Final answer
    x = 800.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.