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Finding the Third Proportional to 321,568 and 685,844

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Solution

The third proportional to 321,568 and 685,844 is: 1,462,776.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,568 : 685,844 = 685,844 : x
  2. Step 2: Convert to fraction form
    321,568/685,844 = 685,844/x
  3. Step 3: Cross multiply
    321,568x = 685,844 × 685,844
  4. Step 4: Simplify right side
    321,568x = 470,381,992,336
  5. Step 5: Solve for x
    x = 470,381,992,336/321,568
  6. Step 6: Final answer
    x = 1,462,776.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.