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Finding the Third Proportional to 172.45 and 406.73

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Solution

The third proportional to 172.45 and 406.73 is: 959.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.45 : 406.73 = 406.73 : x
  2. Step 2: Convert to fraction form
    172.45/406.73 = 406.73/x
  3. Step 3: Cross multiply
    172.45x = 406.73 × 406.73
  4. Step 4: Simplify right side
    172.45x = 165,432.85
  5. Step 5: Solve for x
    x = 165,432.85/172.45
  6. Step 6: Final answer
    x = 959.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.