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Finding the Third Proportional to 257,195.25 and 393,204.38

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Solution

The third proportional to 257,195.25 and 393,204.38 is: 601,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,195.25 : 393,204.38 = 393,204.38 : x
  2. Step 2: Convert to fraction form
    257,195.25/393,204.38 = 393,204.38/x
  3. Step 3: Cross multiply
    257,195.25x = 393,204.38 × 393,204.38
  4. Step 4: Simplify right side
    257,195.25x = 154,609,680,519.14
  5. Step 5: Solve for x
    x = 154,609,680,519.14/257,195.25
  6. Step 6: Final answer
    x = 601,137.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.