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Finding the Third Proportional to 129,227.25 and 188,828.25

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Solution

The third proportional to 129,227.25 and 188,828.25 is: 275,917.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,227.25 : 188,828.25 = 188,828.25 : x
  2. Step 2: Convert to fraction form
    129,227.25/188,828.25 = 188,828.25/x
  3. Step 3: Cross multiply
    129,227.25x = 188,828.25 × 188,828.25
  4. Step 4: Simplify right side
    129,227.25x = 35,656,107,998.06
  5. Step 5: Solve for x
    x = 35,656,107,998.06/129,227.25
  6. Step 6: Final answer
    x = 275,917.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.