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Finding the Third Proportional to 311,555 and 466,812

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Solution

The third proportional to 311,555 and 466,812 is: 699,438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,555 : 466,812 = 466,812 : x
  2. Step 2: Convert to fraction form
    311,555/466,812 = 466,812/x
  3. Step 3: Cross multiply
    311,555x = 466,812 × 466,812
  4. Step 4: Simplify right side
    311,555x = 217,913,443,344
  5. Step 5: Solve for x
    x = 217,913,443,344/311,555
  6. Step 6: Final answer
    x = 699,438.12

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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.