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Finding the Third Proportional to 112,839 and 271,879

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Solution

The third proportional to 112,839 and 271,879 is: 655,076.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,839 : 271,879 = 271,879 : x
  2. Step 2: Convert to fraction form
    112,839/271,879 = 271,879/x
  3. Step 3: Cross multiply
    112,839x = 271,879 × 271,879
  4. Step 4: Simplify right side
    112,839x = 73,918,190,641
  5. Step 5: Solve for x
    x = 73,918,190,641/112,839
  6. Step 6: Final answer
    x = 655,076.62

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.