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Finding the Third Proportional to 207,538 and 311,308

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Solution

The third proportional to 207,538 and 311,308 is: 466,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,538 : 311,308 = 311,308 : x
  2. Step 2: Convert to fraction form
    207,538/311,308 = 311,308/x
  3. Step 3: Cross multiply
    207,538x = 311,308 × 311,308
  4. Step 4: Simplify right side
    207,538x = 96,912,670,864
  5. Step 5: Solve for x
    x = 96,912,670,864/207,538
  6. Step 6: Final answer
    x = 466,963.50

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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.