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Finding the Third Proportional to 207,682 and 311,177

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Solution

The third proportional to 207,682 and 311,177 is: 466,247.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,682 : 311,177 = 311,177 : x
  2. Step 2: Convert to fraction form
    207,682/311,177 = 311,177/x
  3. Step 3: Cross multiply
    207,682x = 311,177 × 311,177
  4. Step 4: Simplify right side
    207,682x = 96,831,125,329
  5. Step 5: Solve for x
    x = 96,831,125,329/207,682
  6. Step 6: Final answer
    x = 466,247.08

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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.