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Finding the Third Proportional to 318,890 and 493,738

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Solution

The third proportional to 318,890 and 493,738 is: 764,455.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,890 : 493,738 = 493,738 : x
  2. Step 2: Convert to fraction form
    318,890/493,738 = 493,738/x
  3. Step 3: Cross multiply
    318,890x = 493,738 × 493,738
  4. Step 4: Simplify right side
    318,890x = 243,777,212,644
  5. Step 5: Solve for x
    x = 243,777,212,644/318,890
  6. Step 6: Final answer
    x = 764,455.49

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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.