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Finding the Third Proportional to 204,609 and 437,642

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Solution

The third proportional to 204,609 and 437,642 is: 936,080.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,609 : 437,642 = 437,642 : x
  2. Step 2: Convert to fraction form
    204,609/437,642 = 437,642/x
  3. Step 3: Cross multiply
    204,609x = 437,642 × 437,642
  4. Step 4: Simplify right side
    204,609x = 191,530,520,164
  5. Step 5: Solve for x
    x = 191,530,520,164/204,609
  6. Step 6: Final answer
    x = 936,080.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.