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Finding the Third Proportional to 206,982.84 and 311,499.42

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Solution

The third proportional to 206,982.84 and 311,499.42 is: 468,791.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,982.84 : 311,499.42 = 311,499.42 : x
  2. Step 2: Convert to fraction form
    206,982.84/311,499.42 = 311,499.42/x
  3. Step 3: Cross multiply
    206,982.84x = 311,499.42 × 311,499.42
  4. Step 4: Simplify right side
    206,982.84x = 97,031,889,828.46
  5. Step 5: Solve for x
    x = 97,031,889,828.46/206,982.84
  6. Step 6: Final answer
    x = 468,791.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.