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Finding the Third Proportional to 454,128 and 996,821

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Solution

The third proportional to 454,128 and 996,821 is: 2,188,044.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,128 : 996,821 = 996,821 : x
  2. Step 2: Convert to fraction form
    454,128/996,821 = 996,821/x
  3. Step 3: Cross multiply
    454,128x = 996,821 × 996,821
  4. Step 4: Simplify right side
    454,128x = 993,652,106,041
  5. Step 5: Solve for x
    x = 993,652,106,041/454,128
  6. Step 6: Final answer
    x = 2,188,044.13

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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.