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Finding the Third Proportional to 445,728 and 908,736

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Solution

The third proportional to 445,728 and 908,736 is: 1,852,701.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,728 : 908,736 = 908,736 : x
  2. Step 2: Convert to fraction form
    445,728/908,736 = 908,736/x
  3. Step 3: Cross multiply
    445,728x = 908,736 × 908,736
  4. Step 4: Simplify right side
    445,728x = 825,801,117,696
  5. Step 5: Solve for x
    x = 825,801,117,696/445,728
  6. Step 6: Final answer
    x = 1,852,701.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.