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Finding the Third Proportional to 203,558 and 442,132

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Solution

The third proportional to 203,558 and 442,132 is: 960,319.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,558 : 442,132 = 442,132 : x
  2. Step 2: Convert to fraction form
    203,558/442,132 = 442,132/x
  3. Step 3: Cross multiply
    203,558x = 442,132 × 442,132
  4. Step 4: Simplify right side
    203,558x = 195,480,705,424
  5. Step 5: Solve for x
    x = 195,480,705,424/203,558
  6. Step 6: Final answer
    x = 960,319.44

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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.