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Finding the Third Proportional to 204,908.50 and 316,450.75

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Solution

The third proportional to 204,908.50 and 316,450.75 is: 488,711.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,908.50 : 316,450.75 = 316,450.75 : x
  2. Step 2: Convert to fraction form
    204,908.50/316,450.75 = 316,450.75/x
  3. Step 3: Cross multiply
    204,908.50x = 316,450.75 × 316,450.75
  4. Step 4: Simplify right side
    204,908.50x = 100,141,077,175.56
  5. Step 5: Solve for x
    x = 100,141,077,175.56/204,908.50
  6. Step 6: Final answer
    x = 488,711.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.