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Finding the Third Proportional to 311,108 and 664,862

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Solution

The third proportional to 311,108 and 664,862 is: 1,420,861.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,108 : 664,862 = 664,862 : x
  2. Step 2: Convert to fraction form
    311,108/664,862 = 664,862/x
  3. Step 3: Cross multiply
    311,108x = 664,862 × 664,862
  4. Step 4: Simplify right side
    311,108x = 442,041,479,044
  5. Step 5: Solve for x
    x = 442,041,479,044/311,108
  6. Step 6: Final answer
    x = 1,420,861.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.