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Finding the Third Proportional to 120,780 and 256,176

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Solution

The third proportional to 120,780 and 256,176 is: 543,352.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,780 : 256,176 = 256,176 : x
  2. Step 2: Convert to fraction form
    120,780/256,176 = 256,176/x
  3. Step 3: Cross multiply
    120,780x = 256,176 × 256,176
  4. Step 4: Simplify right side
    120,780x = 65,626,142,976
  5. Step 5: Solve for x
    x = 65,626,142,976/120,780
  6. Step 6: Final answer
    x = 543,352.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.