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Finding the Third Proportional to 55,541 and 120,311

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Solution

The third proportional to 55,541 and 120,311 is: 260,613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,541 : 120,311 = 120,311 : x
  2. Step 2: Convert to fraction form
    55,541/120,311 = 120,311/x
  3. Step 3: Cross multiply
    55,541x = 120,311 × 120,311
  4. Step 4: Simplify right side
    55,541x = 14,474,736,721
  5. Step 5: Solve for x
    x = 14,474,736,721/55,541
  6. Step 6: Final answer
    x = 260,613.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.