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Finding the Third Proportional to 120,789 and 256,193

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Solution

The third proportional to 120,789 and 256,193 is: 543,384.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,789 : 256,193 = 256,193 : x
  2. Step 2: Convert to fraction form
    120,789/256,193 = 256,193/x
  3. Step 3: Cross multiply
    120,789x = 256,193 × 256,193
  4. Step 4: Simplify right side
    120,789x = 65,634,853,249
  5. Step 5: Solve for x
    x = 65,634,853,249/120,789
  6. Step 6: Final answer
    x = 543,384.36

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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.