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Finding the Third Proportional to 106,584.19 and 231,096.38

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Solution

The third proportional to 106,584.19 and 231,096.38 is: 501,064.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,584.19 : 231,096.38 = 231,096.38 : x
  2. Step 2: Convert to fraction form
    106,584.19/231,096.38 = 231,096.38/x
  3. Step 3: Cross multiply
    106,584.19x = 231,096.38 × 231,096.38
  4. Step 4: Simplify right side
    106,584.19x = 53,405,534,538.14
  5. Step 5: Solve for x
    x = 53,405,534,538.14/106,584.19
  6. Step 6: Final answer
    x = 501,064.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.