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Finding the Third Proportional to 318,318 and 496,851

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Solution

The third proportional to 318,318 and 496,851 is: 775,516.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,318 : 496,851 = 496,851 : x
  2. Step 2: Convert to fraction form
    318,318/496,851 = 496,851/x
  3. Step 3: Cross multiply
    318,318x = 496,851 × 496,851
  4. Step 4: Simplify right side
    318,318x = 246,860,916,201
  5. Step 5: Solve for x
    x = 246,860,916,201/318,318
  6. Step 6: Final answer
    x = 775,516.67

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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.