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Finding the Third Proportional to 311,375 and 465,441

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Solution

The third proportional to 311,375 and 465,441 is: 695,737.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,375 : 465,441 = 465,441 : x
  2. Step 2: Convert to fraction form
    311,375/465,441 = 465,441/x
  3. Step 3: Cross multiply
    311,375x = 465,441 × 465,441
  4. Step 4: Simplify right side
    311,375x = 216,635,324,481
  5. Step 5: Solve for x
    x = 216,635,324,481/311,375
  6. Step 6: Final answer
    x = 695,737.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.