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Finding the Third Proportional to 171,803 and 256,911

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Solution

The third proportional to 171,803 and 256,911 is: 384,179.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,803 : 256,911 = 256,911 : x
  2. Step 2: Convert to fraction form
    171,803/256,911 = 256,911/x
  3. Step 3: Cross multiply
    171,803x = 256,911 × 256,911
  4. Step 4: Simplify right side
    171,803x = 66,003,261,921
  5. Step 5: Solve for x
    x = 66,003,261,921/171,803
  6. Step 6: Final answer
    x = 384,179.91

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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.