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Finding the Third Proportional to 204,778.50 and 320,536.13

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Solution

The third proportional to 204,778.50 and 320,536.13 is: 501,729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,778.50 : 320,536.13 = 320,536.13 : x
  2. Step 2: Convert to fraction form
    204,778.50/320,536.13 = 320,536.13/x
  3. Step 3: Cross multiply
    204,778.50x = 320,536.13 × 320,536.13
  4. Step 4: Simplify right side
    204,778.50x = 102,743,407,430.02
  5. Step 5: Solve for x
    x = 102,743,407,430.02/204,778.50
  6. Step 6: Final answer
    x = 501,729.47

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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.