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Finding the Third Proportional to 168,328 and 261,836

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Solution

The third proportional to 168,328 and 261,836 is: 407,288.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,328 : 261,836 = 261,836 : x
  2. Step 2: Convert to fraction form
    168,328/261,836 = 261,836/x
  3. Step 3: Cross multiply
    168,328x = 261,836 × 261,836
  4. Step 4: Simplify right side
    168,328x = 68,558,090,896
  5. Step 5: Solve for x
    x = 68,558,090,896/168,328
  6. Step 6: Final answer
    x = 407,288.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.