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Finding the Third Proportional to 172.69 and 373.22

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Solution

The third proportional to 172.69 and 373.22 is: 806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.69 : 373.22 = 373.22 : x
  2. Step 2: Convert to fraction form
    172.69/373.22 = 373.22/x
  3. Step 3: Cross multiply
    172.69x = 373.22 × 373.22
  4. Step 4: Simplify right side
    172.69x = 139,292.24
  5. Step 5: Solve for x
    x = 139,292.24/172.69
  6. Step 6: Final answer
    x = 806.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.