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Finding the Third Proportional to 208,269 and 311,508

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Solution

The third proportional to 208,269 and 311,508 is: 465,922.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,269 : 311,508 = 311,508 : x
  2. Step 2: Convert to fraction form
    208,269/311,508 = 311,508/x
  3. Step 3: Cross multiply
    208,269x = 311,508 × 311,508
  4. Step 4: Simplify right side
    208,269x = 97,037,234,064
  5. Step 5: Solve for x
    x = 97,037,234,064/208,269
  6. Step 6: Final answer
    x = 465,922.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.