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Finding the Third Proportional to 118,872 and 259,872

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Solution

The third proportional to 118,872 and 259,872 is: 568,119.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,872 : 259,872 = 259,872 : x
  2. Step 2: Convert to fraction form
    118,872/259,872 = 259,872/x
  3. Step 3: Cross multiply
    118,872x = 259,872 × 259,872
  4. Step 4: Simplify right side
    118,872x = 67,533,456,384
  5. Step 5: Solve for x
    x = 67,533,456,384/118,872
  6. Step 6: Final answer
    x = 568,119.12

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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.