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Finding the Third Proportional to 207,692 and 311,191

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Solution

The third proportional to 207,692 and 311,191 is: 466,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,692 : 311,191 = 311,191 : x
  2. Step 2: Convert to fraction form
    207,692/311,191 = 311,191/x
  3. Step 3: Cross multiply
    207,692x = 311,191 × 311,191
  4. Step 4: Simplify right side
    207,692x = 96,839,838,481
  5. Step 5: Solve for x
    x = 96,839,838,481/207,692
  6. Step 6: Final answer
    x = 466,266.58

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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.