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Finding the Third Proportional to 171,780 and 256,879

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Solution

The third proportional to 171,780 and 256,879 is: 384,135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,780 : 256,879 = 256,879 : x
  2. Step 2: Convert to fraction form
    171,780/256,879 = 256,879/x
  3. Step 3: Cross multiply
    171,780x = 256,879 × 256,879
  4. Step 4: Simplify right side
    171,780x = 65,986,820,641
  5. Step 5: Solve for x
    x = 65,986,820,641/171,780
  6. Step 6: Final answer
    x = 384,135.64

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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.