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Finding the Third Proportional to 171,785 and 256,884

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Solution

The third proportional to 171,785 and 256,884 is: 384,139.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,785 : 256,884 = 256,884 : x
  2. Step 2: Convert to fraction form
    171,785/256,884 = 256,884/x
  3. Step 3: Cross multiply
    171,785x = 256,884 × 256,884
  4. Step 4: Simplify right side
    171,785x = 65,989,389,456
  5. Step 5: Solve for x
    x = 65,989,389,456/171,785
  6. Step 6: Final answer
    x = 384,139.42

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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.