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Finding the Third Proportional to 200,728.69 and 311,178.09

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Solution

The third proportional to 200,728.69 and 311,178.09 is: 482,401.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,728.69 : 311,178.09 = 311,178.09 : x
  2. Step 2: Convert to fraction form
    200,728.69/311,178.09 = 311,178.09/x
  3. Step 3: Cross multiply
    200,728.69x = 311,178.09 × 311,178.09
  4. Step 4: Simplify right side
    200,728.69x = 96,831,806,029.88
  5. Step 5: Solve for x
    x = 96,831,806,029.88/200,728.69
  6. Step 6: Final answer
    x = 482,401.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.