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Finding the Third Proportional to 171,429 and 256,977

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Solution

The third proportional to 171,429 and 256,977 is: 385,215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,429 : 256,977 = 256,977 : x
  2. Step 2: Convert to fraction form
    171,429/256,977 = 256,977/x
  3. Step 3: Cross multiply
    171,429x = 256,977 × 256,977
  4. Step 4: Simplify right side
    171,429x = 66,037,178,529
  5. Step 5: Solve for x
    x = 66,037,178,529/171,429
  6. Step 6: Final answer
    x = 385,215.91

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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.