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Finding the Third Proportional to 231,131 and 324,529

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Solution

The third proportional to 231,131 and 324,529 is: 455,668.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,131 : 324,529 = 324,529 : x
  2. Step 2: Convert to fraction form
    231,131/324,529 = 324,529/x
  3. Step 3: Cross multiply
    231,131x = 324,529 × 324,529
  4. Step 4: Simplify right side
    231,131x = 105,319,071,841
  5. Step 5: Solve for x
    x = 105,319,071,841/231,131
  6. Step 6: Final answer
    x = 455,668.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.