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Finding the Third Proportional to 271,458 and 422,699

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Solution

The third proportional to 271,458 and 422,699 is: 658,202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,458 : 422,699 = 422,699 : x
  2. Step 2: Convert to fraction form
    271,458/422,699 = 422,699/x
  3. Step 3: Cross multiply
    271,458x = 422,699 × 422,699
  4. Step 4: Simplify right side
    271,458x = 178,674,444,601
  5. Step 5: Solve for x
    x = 178,674,444,601/271,458
  6. Step 6: Final answer
    x = 658,202.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.