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Finding the Third Proportional to 120,530 and 261,131

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Solution

The third proportional to 120,530 and 261,131 is: 565,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,530 : 261,131 = 261,131 : x
  2. Step 2: Convert to fraction form
    120,530/261,131 = 261,131/x
  3. Step 3: Cross multiply
    120,530x = 261,131 × 261,131
  4. Step 4: Simplify right side
    120,530x = 68,189,399,161
  5. Step 5: Solve for x
    x = 68,189,399,161/120,530
  6. Step 6: Final answer
    x = 565,746.28

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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.