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Finding the Third Proportional to 421,800 and 995,676

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Solution

The third proportional to 421,800 and 995,676 is: 2,350,333.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,800 : 995,676 = 995,676 : x
  2. Step 2: Convert to fraction form
    421,800/995,676 = 995,676/x
  3. Step 3: Cross multiply
    421,800x = 995,676 × 995,676
  4. Step 4: Simplify right side
    421,800x = 991,370,696,976
  5. Step 5: Solve for x
    x = 991,370,696,976/421,800
  6. Step 6: Final answer
    x = 2,350,333.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.