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Finding the Third Proportional to 420,800 and 905,760

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Solution

The third proportional to 420,800 and 905,760 is: 1,949,622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,800 : 905,760 = 905,760 : x
  2. Step 2: Convert to fraction form
    420,800/905,760 = 905,760/x
  3. Step 3: Cross multiply
    420,800x = 905,760 × 905,760
  4. Step 4: Simplify right side
    420,800x = 820,401,177,600
  5. Step 5: Solve for x
    x = 820,401,177,600/420,800
  6. Step 6: Final answer
    x = 1,949,622.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.