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Finding the Third Proportional to 171,661 and 256,519

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Solution

The third proportional to 171,661 and 256,519 is: 383,325.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,661 : 256,519 = 256,519 : x
  2. Step 2: Convert to fraction form
    171,661/256,519 = 256,519/x
  3. Step 3: Cross multiply
    171,661x = 256,519 × 256,519
  4. Step 4: Simplify right side
    171,661x = 65,801,997,361
  5. Step 5: Solve for x
    x = 65,801,997,361/171,661
  6. Step 6: Final answer
    x = 383,325.26

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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.