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Finding the Third Proportional to 203,624 and 438,318

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Solution

The third proportional to 203,624 and 438,318 is: 943,516.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,624 : 438,318 = 438,318 : x
  2. Step 2: Convert to fraction form
    203,624/438,318 = 438,318/x
  3. Step 3: Cross multiply
    203,624x = 438,318 × 438,318
  4. Step 4: Simplify right side
    203,624x = 192,122,669,124
  5. Step 5: Solve for x
    x = 192,122,669,124/203,624
  6. Step 6: Final answer
    x = 943,516.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.