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Finding the Third Proportional to 123,528.38 and 204,450.75

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Solution

The third proportional to 123,528.38 and 204,450.75 is: 338,384.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,528.38 : 204,450.75 = 204,450.75 : x
  2. Step 2: Convert to fraction form
    123,528.38/204,450.75 = 204,450.75/x
  3. Step 3: Cross multiply
    123,528.38x = 204,450.75 × 204,450.75
  4. Step 4: Simplify right side
    123,528.38x = 41,800,109,175.56
  5. Step 5: Solve for x
    x = 41,800,109,175.56/123,528.38
  6. Step 6: Final answer
    x = 338,384.68

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.