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Finding the Third Proportional to 171,783 and 256,881

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Solution

The third proportional to 171,783 and 256,881 is: 384,134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,783 : 256,881 = 256,881 : x
  2. Step 2: Convert to fraction form
    171,783/256,881 = 256,881/x
  3. Step 3: Cross multiply
    171,783x = 256,881 × 256,881
  4. Step 4: Simplify right side
    171,783x = 65,987,848,161
  5. Step 5: Solve for x
    x = 65,987,848,161/171,783
  6. Step 6: Final answer
    x = 384,134.92

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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.