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Finding the Third Proportional to 318,893 and 493,744

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Solution

The third proportional to 318,893 and 493,744 is: 764,466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,893 : 493,744 = 493,744 : x
  2. Step 2: Convert to fraction form
    318,893/493,744 = 493,744/x
  3. Step 3: Cross multiply
    318,893x = 493,744 × 493,744
  4. Step 4: Simplify right side
    318,893x = 243,783,137,536
  5. Step 5: Solve for x
    x = 243,783,137,536/318,893
  6. Step 6: Final answer
    x = 764,466.88

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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.