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Finding the Third Proportional to 205,800.75 and 320,739.75

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Solution

The third proportional to 205,800.75 and 320,739.75 is: 499,871.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,800.75 : 320,739.75 = 320,739.75 : x
  2. Step 2: Convert to fraction form
    205,800.75/320,739.75 = 320,739.75/x
  3. Step 3: Cross multiply
    205,800.75x = 320,739.75 × 320,739.75
  4. Step 4: Simplify right side
    205,800.75x = 102,873,987,230.06
  5. Step 5: Solve for x
    x = 102,873,987,230.06/205,800.75
  6. Step 6: Final answer
    x = 499,871.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.