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Finding the Third Proportional to 161,408 and 318,682

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Solution

The third proportional to 161,408 and 318,682 is: 629,201.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,408 : 318,682 = 318,682 : x
  2. Step 2: Convert to fraction form
    161,408/318,682 = 318,682/x
  3. Step 3: Cross multiply
    161,408x = 318,682 × 318,682
  4. Step 4: Simplify right side
    161,408x = 101,558,217,124
  5. Step 5: Solve for x
    x = 101,558,217,124/161,408
  6. Step 6: Final answer
    x = 629,201.88

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.