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Finding the Third Proportional to 303,796 and 664,804

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Solution

The third proportional to 303,796 and 664,804 is: 1,454,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,796 : 664,804 = 664,804 : x
  2. Step 2: Convert to fraction form
    303,796/664,804 = 664,804/x
  3. Step 3: Cross multiply
    303,796x = 664,804 × 664,804
  4. Step 4: Simplify right side
    303,796x = 441,964,358,416
  5. Step 5: Solve for x
    x = 441,964,358,416/303,796
  6. Step 6: Final answer
    x = 1,454,806.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.