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Finding the Third Proportional to 171,436 and 256,984

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Solution

The third proportional to 171,436 and 256,984 is: 385,221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,436 : 256,984 = 256,984 : x
  2. Step 2: Convert to fraction form
    171,436/256,984 = 256,984/x
  3. Step 3: Cross multiply
    171,436x = 256,984 × 256,984
  4. Step 4: Simplify right side
    171,436x = 66,040,776,256
  5. Step 5: Solve for x
    x = 66,040,776,256/171,436
  6. Step 6: Final answer
    x = 385,221.17

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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.