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Finding the Third Proportional to 55,959 and 120,200

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Solution

The third proportional to 55,959 and 120,200 is: 258,189.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,959 : 120,200 = 120,200 : x
  2. Step 2: Convert to fraction form
    55,959/120,200 = 120,200/x
  3. Step 3: Cross multiply
    55,959x = 120,200 × 120,200
  4. Step 4: Simplify right side
    55,959x = 14,448,040,000
  5. Step 5: Solve for x
    x = 14,448,040,000/55,959
  6. Step 6: Final answer
    x = 258,189.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.