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Finding the Third Proportional to 311,067 and 496,140

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Solution

The third proportional to 311,067 and 496,140 is: 791,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,067 : 496,140 = 496,140 : x
  2. Step 2: Convert to fraction form
    311,067/496,140 = 496,140/x
  3. Step 3: Cross multiply
    311,067x = 496,140 × 496,140
  4. Step 4: Simplify right side
    311,067x = 246,154,899,600
  5. Step 5: Solve for x
    x = 246,154,899,600/311,067
  6. Step 6: Final answer
    x = 791,324.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.