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Finding the Third Proportional to 172,576 and 231,912

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Solution

The third proportional to 172,576 and 231,912 is: 311,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,576 : 231,912 = 231,912 : x
  2. Step 2: Convert to fraction form
    172,576/231,912 = 231,912/x
  3. Step 3: Cross multiply
    172,576x = 231,912 × 231,912
  4. Step 4: Simplify right side
    172,576x = 53,783,175,744
  5. Step 5: Solve for x
    x = 53,783,175,744/172,576
  6. Step 6: Final answer
    x = 311,649.22

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.