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Finding the Third Proportional to 55,138 and 120,782

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Solution

The third proportional to 55,138 and 120,782 is: 264,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,138 : 120,782 = 120,782 : x
  2. Step 2: Convert to fraction form
    55,138/120,782 = 120,782/x
  3. Step 3: Cross multiply
    55,138x = 120,782 × 120,782
  4. Step 4: Simplify right side
    55,138x = 14,588,291,524
  5. Step 5: Solve for x
    x = 14,588,291,524/55,138
  6. Step 6: Final answer
    x = 264,577.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.