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Finding the Third Proportional to 171,772 and 256,867

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Solution

The third proportional to 171,772 and 256,867 is: 384,117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,772 : 256,867 = 256,867 : x
  2. Step 2: Convert to fraction form
    171,772/256,867 = 256,867/x
  3. Step 3: Cross multiply
    171,772x = 256,867 × 256,867
  4. Step 4: Simplify right side
    171,772x = 65,980,655,689
  5. Step 5: Solve for x
    x = 65,980,655,689/171,772
  6. Step 6: Final answer
    x = 384,117.64

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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.