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Finding the Third Proportional to 318,936 and 493,839

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Solution

The third proportional to 318,936 and 493,839 is: 764,657.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,936 : 493,839 = 493,839 : x
  2. Step 2: Convert to fraction form
    318,936/493,839 = 493,839/x
  3. Step 3: Cross multiply
    318,936x = 493,839 × 493,839
  4. Step 4: Simplify right side
    318,936x = 243,876,957,921
  5. Step 5: Solve for x
    x = 243,876,957,921/318,936
  6. Step 6: Final answer
    x = 764,657.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.