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Finding the Third Proportional to 420,772 and 905,696

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Solution

The third proportional to 420,772 and 905,696 is: 1,949,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,772 : 905,696 = 905,696 : x
  2. Step 2: Convert to fraction form
    420,772/905,696 = 905,696/x
  3. Step 3: Cross multiply
    420,772x = 905,696 × 905,696
  4. Step 4: Simplify right side
    420,772x = 820,285,244,416
  5. Step 5: Solve for x
    x = 820,285,244,416/420,772
  6. Step 6: Final answer
    x = 1,949,476.78

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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.