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Finding the Third Proportional to 203,106 and 324,339

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Solution

The third proportional to 203,106 and 324,339 is: 517,935.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,106 : 324,339 = 324,339 : x
  2. Step 2: Convert to fraction form
    203,106/324,339 = 324,339/x
  3. Step 3: Cross multiply
    203,106x = 324,339 × 324,339
  4. Step 4: Simplify right side
    203,106x = 105,195,786,921
  5. Step 5: Solve for x
    x = 105,195,786,921/203,106
  6. Step 6: Final answer
    x = 517,935.40

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.