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Finding the Third Proportional to 168,221 and 355,756

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Solution

The third proportional to 168,221 and 355,756 is: 752,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,221 : 355,756 = 355,756 : x
  2. Step 2: Convert to fraction form
    168,221/355,756 = 355,756/x
  3. Step 3: Cross multiply
    168,221x = 355,756 × 355,756
  4. Step 4: Simplify right side
    168,221x = 126,562,331,536
  5. Step 5: Solve for x
    x = 126,562,331,536/168,221
  6. Step 6: Final answer
    x = 752,357.50

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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.