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Finding the Third Proportional to 171,772.50 and 256,869

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Solution

The third proportional to 171,772.50 and 256,869 is: 384,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,772.50 : 256,869 = 256,869 : x
  2. Step 2: Convert to fraction form
    171,772.50/256,869 = 256,869/x
  3. Step 3: Cross multiply
    171,772.50x = 256,869 × 256,869
  4. Step 4: Simplify right side
    171,772.50x = 65,981,683,161
  5. Step 5: Solve for x
    x = 65,981,683,161/171,772.50
  6. Step 6: Final answer
    x = 384,122.51

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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.