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Finding the Third Proportional to 206,811.56 and 311,448.38

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Solution

The third proportional to 206,811.56 and 311,448.38 is: 469,026.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,811.56 : 311,448.38 = 311,448.38 : x
  2. Step 2: Convert to fraction form
    206,811.56/311,448.38 = 311,448.38/x
  3. Step 3: Cross multiply
    206,811.56x = 311,448.38 × 311,448.38
  4. Step 4: Simplify right side
    206,811.56x = 97,000,090,290.14
  5. Step 5: Solve for x
    x = 97,000,090,290.14/206,811.56
  6. Step 6: Final answer
    x = 469,026.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.