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Finding the Third Proportional to 172.97 and 412.92

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Solution

The third proportional to 172.97 and 412.92 is: 985.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.97 : 412.92 = 412.92 : x
  2. Step 2: Convert to fraction form
    172.97/412.92 = 412.92/x
  3. Step 3: Cross multiply
    172.97x = 412.92 × 412.92
  4. Step 4: Simplify right side
    172.97x = 170,504.47
  5. Step 5: Solve for x
    x = 170,504.47/172.97
  6. Step 6: Final answer
    x = 985.75

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.