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Finding the Third Proportional to 171,790 and 256,889

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Solution

The third proportional to 171,790 and 256,889 is: 384,143.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,790 : 256,889 = 256,889 : x
  2. Step 2: Convert to fraction form
    171,790/256,889 = 256,889/x
  3. Step 3: Cross multiply
    171,790x = 256,889 × 256,889
  4. Step 4: Simplify right side
    171,790x = 65,991,958,321
  5. Step 5: Solve for x
    x = 65,991,958,321/171,790
  6. Step 6: Final answer
    x = 384,143.19

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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.