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Finding the Third Proportional to 454,930 and 992,676

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Solution

The third proportional to 454,930 and 992,676 is: 2,166,059.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,930 : 992,676 = 992,676 : x
  2. Step 2: Convert to fraction form
    454,930/992,676 = 992,676/x
  3. Step 3: Cross multiply
    454,930x = 992,676 × 992,676
  4. Step 4: Simplify right side
    454,930x = 985,405,640,976
  5. Step 5: Solve for x
    x = 985,405,640,976/454,930
  6. Step 6: Final answer
    x = 2,166,059.92

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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.