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Finding the Third Proportional to 106,120.50 and 231,195

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Solution

The third proportional to 106,120.50 and 231,195 is: 503,683.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,120.50 : 231,195 = 231,195 : x
  2. Step 2: Convert to fraction form
    106,120.50/231,195 = 231,195/x
  3. Step 3: Cross multiply
    106,120.50x = 231,195 × 231,195
  4. Step 4: Simplify right side
    106,120.50x = 53,451,128,025
  5. Step 5: Solve for x
    x = 53,451,128,025/106,120.50
  6. Step 6: Final answer
    x = 503,683.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.