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Finding the Third Proportional to 311,869.50 and 496,407

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Solution

The third proportional to 311,869.50 and 496,407 is: 790,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,869.50 : 496,407 = 496,407 : x
  2. Step 2: Convert to fraction form
    311,869.50/496,407 = 496,407/x
  3. Step 3: Cross multiply
    311,869.50x = 496,407 × 496,407
  4. Step 4: Simplify right side
    311,869.50x = 246,419,909,649
  5. Step 5: Solve for x
    x = 246,419,909,649/311,869.50
  6. Step 6: Final answer
    x = 790,137.89

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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.