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Finding the Third Proportional to 172,212 and 374,916

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Solution

The third proportional to 172,212 and 374,916 is: 816,214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,212 : 374,916 = 374,916 : x
  2. Step 2: Convert to fraction form
    172,212/374,916 = 374,916/x
  3. Step 3: Cross multiply
    172,212x = 374,916 × 374,916
  4. Step 4: Simplify right side
    172,212x = 140,562,007,056
  5. Step 5: Solve for x
    x = 140,562,007,056/172,212
  6. Step 6: Final answer
    x = 816,214.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.