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Finding the Third Proportional to 204,666.75 and 311,131.13

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Solution

The third proportional to 204,666.75 and 311,131.13 is: 472,976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,666.75 : 311,131.13 = 311,131.13 : x
  2. Step 2: Convert to fraction form
    204,666.75/311,131.13 = 311,131.13/x
  3. Step 3: Cross multiply
    204,666.75x = 311,131.13 × 311,131.13
  4. Step 4: Simplify right side
    204,666.75x = 96,802,576,943.77
  5. Step 5: Solve for x
    x = 96,802,576,943.77/204,666.75
  6. Step 6: Final answer
    x = 472,976.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.