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Finding the Third Proportional to 107,800 and 231,813

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Solution

The third proportional to 107,800 and 231,813 is: 498,490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,800 : 231,813 = 231,813 : x
  2. Step 2: Convert to fraction form
    107,800/231,813 = 231,813/x
  3. Step 3: Cross multiply
    107,800x = 231,813 × 231,813
  4. Step 4: Simplify right side
    107,800x = 53,737,266,969
  5. Step 5: Solve for x
    x = 53,737,266,969/107,800
  6. Step 6: Final answer
    x = 498,490.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.