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Finding the Third Proportional to 318,941 and 493,847

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Solution

The third proportional to 318,941 and 493,847 is: 764,670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,941 : 493,847 = 493,847 : x
  2. Step 2: Convert to fraction form
    318,941/493,847 = 493,847/x
  3. Step 3: Cross multiply
    318,941x = 493,847 × 493,847
  4. Step 4: Simplify right side
    318,941x = 243,884,859,409
  5. Step 5: Solve for x
    x = 243,884,859,409/318,941
  6. Step 6: Final answer
    x = 764,670.77

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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.