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Finding the Third Proportional to 208,215 and 311,751

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Solution

The third proportional to 208,215 and 311,751 is: 466,770.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,215 : 311,751 = 311,751 : x
  2. Step 2: Convert to fraction form
    208,215/311,751 = 311,751/x
  3. Step 3: Cross multiply
    208,215x = 311,751 × 311,751
  4. Step 4: Simplify right side
    208,215x = 97,188,686,001
  5. Step 5: Solve for x
    x = 97,188,686,001/208,215
  6. Step 6: Final answer
    x = 466,770.82

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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.