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Finding the Third Proportional to 171,647 and 256,498

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Solution

The third proportional to 171,647 and 256,498 is: 383,293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,647 : 256,498 = 256,498 : x
  2. Step 2: Convert to fraction form
    171,647/256,498 = 256,498/x
  3. Step 3: Cross multiply
    171,647x = 256,498 × 256,498
  4. Step 4: Simplify right side
    171,647x = 65,791,224,004
  5. Step 5: Solve for x
    x = 65,791,224,004/171,647
  6. Step 6: Final answer
    x = 383,293.76

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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.