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Finding the Third Proportional to 171,651 and 256,504

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Solution

The third proportional to 171,651 and 256,504 is: 383,302.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,651 : 256,504 = 256,504 : x
  2. Step 2: Convert to fraction form
    171,651/256,504 = 256,504/x
  3. Step 3: Cross multiply
    171,651x = 256,504 × 256,504
  4. Step 4: Simplify right side
    171,651x = 65,794,302,016
  5. Step 5: Solve for x
    x = 65,794,302,016/171,651
  6. Step 6: Final answer
    x = 383,302.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.