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Finding the Third Proportional to 279,463 and 395,055

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Solution

The third proportional to 279,463 and 395,055 is: 558,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,463 : 395,055 = 395,055 : x
  2. Step 2: Convert to fraction form
    279,463/395,055 = 395,055/x
  3. Step 3: Cross multiply
    279,463x = 395,055 × 395,055
  4. Step 4: Simplify right side
    279,463x = 156,068,453,025
  5. Step 5: Solve for x
    x = 156,068,453,025/279,463
  6. Step 6: Final answer
    x = 558,458.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.