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Finding the Third Proportional to 170,571 and 255,858

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Solution

The third proportional to 170,571 and 255,858 is: 383,789.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,571 : 255,858 = 255,858 : x
  2. Step 2: Convert to fraction form
    170,571/255,858 = 255,858/x
  3. Step 3: Cross multiply
    170,571x = 255,858 × 255,858
  4. Step 4: Simplify right side
    170,571x = 65,463,316,164
  5. Step 5: Solve for x
    x = 65,463,316,164/170,571
  6. Step 6: Final answer
    x = 383,789.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.