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Finding the Third Proportional to 168,723 and 356,418

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Solution

The third proportional to 168,723 and 356,418 is: 752,913.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,723 : 356,418 = 356,418 : x
  2. Step 2: Convert to fraction form
    168,723/356,418 = 356,418/x
  3. Step 3: Cross multiply
    168,723x = 356,418 × 356,418
  4. Step 4: Simplify right side
    168,723x = 127,033,790,724
  5. Step 5: Solve for x
    x = 127,033,790,724/168,723
  6. Step 6: Final answer
    x = 752,913.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.