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Finding the Third Proportional to 120,787 and 256,189

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Solution

The third proportional to 120,787 and 256,189 is: 543,376.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,787 : 256,189 = 256,189 : x
  2. Step 2: Convert to fraction form
    120,787/256,189 = 256,189/x
  3. Step 3: Cross multiply
    120,787x = 256,189 × 256,189
  4. Step 4: Simplify right side
    120,787x = 65,632,803,721
  5. Step 5: Solve for x
    x = 65,632,803,721/120,787
  6. Step 6: Final answer
    x = 543,376.39

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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.