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Finding the Third Proportional to 204,778.69 and 320,536.69

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Solution

The third proportional to 204,778.69 and 320,536.69 is: 501,730.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,778.69 : 320,536.69 = 320,536.69 : x
  2. Step 2: Convert to fraction form
    204,778.69/320,536.69 = 320,536.69/x
  3. Step 3: Cross multiply
    204,778.69x = 320,536.69 × 320,536.69
  4. Step 4: Simplify right side
    204,778.69x = 102,743,768,033.47
  5. Step 5: Solve for x
    x = 102,743,768,033.47/204,778.69
  6. Step 6: Final answer
    x = 501,730.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.