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Finding the Third Proportional to 120,837 and 259,167

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Solution

The third proportional to 120,837 and 259,167 is: 555,852.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,837 : 259,167 = 259,167 : x
  2. Step 2: Convert to fraction form
    120,837/259,167 = 259,167/x
  3. Step 3: Cross multiply
    120,837x = 259,167 × 259,167
  4. Step 4: Simplify right side
    120,837x = 67,167,533,889
  5. Step 5: Solve for x
    x = 67,167,533,889/120,837
  6. Step 6: Final answer
    x = 555,852.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.