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Finding the Third Proportional to 312,751 and 681,635

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Solution

The third proportional to 312,751 and 681,635 is: 1,485,610.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,751 : 681,635 = 681,635 : x
  2. Step 2: Convert to fraction form
    312,751/681,635 = 681,635/x
  3. Step 3: Cross multiply
    312,751x = 681,635 × 681,635
  4. Step 4: Simplify right side
    312,751x = 464,626,273,225
  5. Step 5: Solve for x
    x = 464,626,273,225/312,751
  6. Step 6: Final answer
    x = 1,485,610.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.