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Finding the Third Proportional to 318,340 and 496,884

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Solution

The third proportional to 318,340 and 496,884 is: 775,566.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,340 : 496,884 = 496,884 : x
  2. Step 2: Convert to fraction form
    318,340/496,884 = 496,884/x
  3. Step 3: Cross multiply
    318,340x = 496,884 × 496,884
  4. Step 4: Simplify right side
    318,340x = 246,893,709,456
  5. Step 5: Solve for x
    x = 246,893,709,456/318,340
  6. Step 6: Final answer
    x = 775,566.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.