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Finding the Third Proportional to 118,489 and 259,939

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Solution

The third proportional to 118,489 and 259,939 is: 570,249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,489 : 259,939 = 259,939 : x
  2. Step 2: Convert to fraction form
    118,489/259,939 = 259,939/x
  3. Step 3: Cross multiply
    118,489x = 259,939 × 259,939
  4. Step 4: Simplify right side
    118,489x = 67,568,283,721
  5. Step 5: Solve for x
    x = 67,568,283,721/118,489
  6. Step 6: Final answer
    x = 570,249.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.