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Finding the Third Proportional to 126,821 and 233,131

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Solution

The third proportional to 126,821 and 233,131 is: 428,557.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,821 : 233,131 = 233,131 : x
  2. Step 2: Convert to fraction form
    126,821/233,131 = 233,131/x
  3. Step 3: Cross multiply
    126,821x = 233,131 × 233,131
  4. Step 4: Simplify right side
    126,821x = 54,350,063,161
  5. Step 5: Solve for x
    x = 54,350,063,161/126,821
  6. Step 6: Final answer
    x = 428,557.28

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.