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Finding the Third Proportional to 56,380 and 120,266

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Solution

The third proportional to 56,380 and 120,266 is: 256,543.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,380 : 120,266 = 120,266 : x
  2. Step 2: Convert to fraction form
    56,380/120,266 = 120,266/x
  3. Step 3: Cross multiply
    56,380x = 120,266 × 120,266
  4. Step 4: Simplify right side
    56,380x = 14,463,910,756
  5. Step 5: Solve for x
    x = 14,463,910,756/56,380
  6. Step 6: Final answer
    x = 256,543.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.