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Finding the Third Proportional to 171,434 and 256,983

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Solution

The third proportional to 171,434 and 256,983 is: 385,222.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,434 : 256,983 = 256,983 : x
  2. Step 2: Convert to fraction form
    171,434/256,983 = 256,983/x
  3. Step 3: Cross multiply
    171,434x = 256,983 × 256,983
  4. Step 4: Simplify right side
    171,434x = 66,040,262,289
  5. Step 5: Solve for x
    x = 66,040,262,289/171,434
  6. Step 6: Final answer
    x = 385,222.66

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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.