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Finding the Third Proportional to 171,128 and 412,268

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Solution

The third proportional to 171,128 and 412,268 is: 993,203.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,128 : 412,268 = 412,268 : x
  2. Step 2: Convert to fraction form
    171,128/412,268 = 412,268/x
  3. Step 3: Cross multiply
    171,128x = 412,268 × 412,268
  4. Step 4: Simplify right side
    171,128x = 169,964,903,824
  5. Step 5: Solve for x
    x = 169,964,903,824/171,128
  6. Step 6: Final answer
    x = 993,203.36

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.