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Finding the Third Proportional to 171,795 and 256,899

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Solution

The third proportional to 171,795 and 256,899 is: 384,161.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,795 : 256,899 = 256,899 : x
  2. Step 2: Convert to fraction form
    171,795/256,899 = 256,899/x
  3. Step 3: Cross multiply
    171,795x = 256,899 × 256,899
  4. Step 4: Simplify right side
    171,795x = 65,997,096,201
  5. Step 5: Solve for x
    x = 65,997,096,201/171,795
  6. Step 6: Final answer
    x = 384,161.92

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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.