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Finding the Third Proportional to 177,902 and 270,519

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Solution

The third proportional to 177,902 and 270,519 is: 411,353.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,902 : 270,519 = 270,519 : x
  2. Step 2: Convert to fraction form
    177,902/270,519 = 270,519/x
  3. Step 3: Cross multiply
    177,902x = 270,519 × 270,519
  4. Step 4: Simplify right side
    177,902x = 73,180,529,361
  5. Step 5: Solve for x
    x = 73,180,529,361/177,902
  6. Step 6: Final answer
    x = 411,353.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.