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Finding the Third Proportional to 171,179 and 256,800

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Solution

The third proportional to 171,179 and 256,800 is: 385,247.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,179 : 256,800 = 256,800 : x
  2. Step 2: Convert to fraction form
    171,179/256,800 = 256,800/x
  3. Step 3: Cross multiply
    171,179x = 256,800 × 256,800
  4. Step 4: Simplify right side
    171,179x = 65,946,240,000
  5. Step 5: Solve for x
    x = 65,946,240,000/171,179
  6. Step 6: Final answer
    x = 385,247.26

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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.