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Finding the Third Proportional to 204,778.13 and 320,535.56

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Solution

The third proportional to 204,778.13 and 320,535.56 is: 501,728.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,778.13 : 320,535.56 = 320,535.56 : x
  2. Step 2: Convert to fraction form
    204,778.13/320,535.56 = 320,535.56/x
  3. Step 3: Cross multiply
    204,778.13x = 320,535.56 × 320,535.56
  4. Step 4: Simplify right side
    204,778.13x = 102,743,046,827.19
  5. Step 5: Solve for x
    x = 102,743,046,827.19/204,778.13
  6. Step 6: Final answer
    x = 501,728.62

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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.