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Finding the Third Proportional to 128,872 and 279,884

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Solution

The third proportional to 128,872 and 279,884 is: 607,851.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,872 : 279,884 = 279,884 : x
  2. Step 2: Convert to fraction form
    128,872/279,884 = 279,884/x
  3. Step 3: Cross multiply
    128,872x = 279,884 × 279,884
  4. Step 4: Simplify right side
    128,872x = 78,335,053,456
  5. Step 5: Solve for x
    x = 78,335,053,456/128,872
  6. Step 6: Final answer
    x = 607,851.62

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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.