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Finding the Third Proportional to 161,940 and 355,764

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Solution

The third proportional to 161,940 and 355,764 is: 781,573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,940 : 355,764 = 355,764 : x
  2. Step 2: Convert to fraction form
    161,940/355,764 = 355,764/x
  3. Step 3: Cross multiply
    161,940x = 355,764 × 355,764
  4. Step 4: Simplify right side
    161,940x = 126,568,023,696
  5. Step 5: Solve for x
    x = 126,568,023,696/161,940
  6. Step 6: Final answer
    x = 781,573.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.