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Finding the Third Proportional to 169,824 and 356,172

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Solution

The third proportional to 169,824 and 356,172 is: 746,999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,824 : 356,172 = 356,172 : x
  2. Step 2: Convert to fraction form
    169,824/356,172 = 356,172/x
  3. Step 3: Cross multiply
    169,824x = 356,172 × 356,172
  4. Step 4: Simplify right side
    169,824x = 126,858,493,584
  5. Step 5: Solve for x
    x = 126,858,493,584/169,824
  6. Step 6: Final answer
    x = 746,999.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.