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Finding the Third Proportional to 279,515 and 395,134

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Solution

The third proportional to 279,515 and 395,134 is: 558,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,515 : 395,134 = 395,134 : x
  2. Step 2: Convert to fraction form
    279,515/395,134 = 395,134/x
  3. Step 3: Cross multiply
    279,515x = 395,134 × 395,134
  4. Step 4: Simplify right side
    279,515x = 156,130,877,956
  5. Step 5: Solve for x
    x = 156,130,877,956/279,515
  6. Step 6: Final answer
    x = 558,577.81

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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.