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Finding the Third Proportional to 271,956 and 391,698

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Solution

The third proportional to 271,956 and 391,698 is: 564,162.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,956 : 391,698 = 391,698 : x
  2. Step 2: Convert to fraction form
    271,956/391,698 = 391,698/x
  3. Step 3: Cross multiply
    271,956x = 391,698 × 391,698
  4. Step 4: Simplify right side
    271,956x = 153,427,323,204
  5. Step 5: Solve for x
    x = 153,427,323,204/271,956
  6. Step 6: Final answer
    x = 564,162.30

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.