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Finding the Third Proportional to 311,108 and 469,520

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Solution

The third proportional to 311,108 and 469,520 is: 708,593.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,108 : 469,520 = 469,520 : x
  2. Step 2: Convert to fraction form
    311,108/469,520 = 469,520/x
  3. Step 3: Cross multiply
    311,108x = 469,520 × 469,520
  4. Step 4: Simplify right side
    311,108x = 220,449,030,400
  5. Step 5: Solve for x
    x = 220,449,030,400/311,108
  6. Step 6: Final answer
    x = 708,593.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.