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Finding the Third Proportional to 216,511.50 and 311,876

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Solution

The third proportional to 216,511.50 and 311,876 is: 449,244.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,511.50 : 311,876 = 311,876 : x
  2. Step 2: Convert to fraction form
    216,511.50/311,876 = 311,876/x
  3. Step 3: Cross multiply
    216,511.50x = 311,876 × 311,876
  4. Step 4: Simplify right side
    216,511.50x = 97,266,639,376
  5. Step 5: Solve for x
    x = 97,266,639,376/216,511.50
  6. Step 6: Final answer
    x = 449,244.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.