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Finding the Third Proportional to 120,214 and 259,697

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Solution

The third proportional to 120,214 and 259,697 is: 561,020.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,214 : 259,697 = 259,697 : x
  2. Step 2: Convert to fraction form
    120,214/259,697 = 259,697/x
  3. Step 3: Cross multiply
    120,214x = 259,697 × 259,697
  4. Step 4: Simplify right side
    120,214x = 67,442,531,809
  5. Step 5: Solve for x
    x = 67,442,531,809/120,214
  6. Step 6: Final answer
    x = 561,020.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.