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Finding the Third Proportional to 321,559.88 and 685,837.13

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Solution

The third proportional to 321,559.88 and 685,837.13 is: 1,462,783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,559.88 : 685,837.13 = 685,837.13 : x
  2. Step 2: Convert to fraction form
    321,559.88/685,837.13 = 685,837.13/x
  3. Step 3: Cross multiply
    321,559.88x = 685,837.13 × 685,837.13
  4. Step 4: Simplify right side
    321,559.88x = 470,372,562,028.27
  5. Step 5: Solve for x
    x = 470,372,562,028.27/321,559.88
  6. Step 6: Final answer
    x = 1,462,783.76

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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.