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Finding the Third Proportional to 271,455.75 and 422,696.25

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Solution

The third proportional to 271,455.75 and 422,696.25 is: 658,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,455.75 : 422,696.25 = 422,696.25 : x
  2. Step 2: Convert to fraction form
    271,455.75/422,696.25 = 422,696.25/x
  3. Step 3: Cross multiply
    271,455.75x = 422,696.25 × 422,696.25
  4. Step 4: Simplify right side
    271,455.75x = 178,672,119,764.06
  5. Step 5: Solve for x
    x = 178,672,119,764.06/271,455.75
  6. Step 6: Final answer
    x = 658,199.80

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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.