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Finding the Third Proportional to 55,393 and 120,811

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Solution

The third proportional to 55,393 and 120,811 is: 263,486.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,393 : 120,811 = 120,811 : x
  2. Step 2: Convert to fraction form
    55,393/120,811 = 120,811/x
  3. Step 3: Cross multiply
    55,393x = 120,811 × 120,811
  4. Step 4: Simplify right side
    55,393x = 14,595,297,721
  5. Step 5: Solve for x
    x = 14,595,297,721/55,393
  6. Step 6: Final answer
    x = 263,486.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.